subject:(p adic groups)

Columbia University

1. Gulotta, Daniel Robert. Equidimensional adic eigenvarieties for groups with discrete series.

Degree: 2018, Columbia University

► We extend Urban's construction of eigenvarieties for reductive groups G such that G(R) has discrete series to include characteristic p points at the boundary of… (more)

Subjects/Keywords: Mathematics; Series; p-adic groups

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gulotta, D. R. (2018). Equidimensional adic eigenvarieties for groups with discrete series. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D8RN4QW8

Chicago Manual of Style (16^th Edition):

Gulotta, Daniel Robert. “Equidimensional adic eigenvarieties for groups with discrete series.” 2018. Doctoral Dissertation, Columbia University. Accessed January 18, 2021. https://doi.org/10.7916/D8RN4QW8.

MLA Handbook (7^th Edition):

Gulotta, Daniel Robert. “Equidimensional adic eigenvarieties for groups with discrete series.” 2018. Web. 18 Jan 2021.

Vancouver:

Gulotta DR. Equidimensional adic eigenvarieties for groups with discrete series. [Internet] [Doctoral dissertation]. Columbia University; 2018. [cited 2021 Jan 18]. Available from: https://doi.org/10.7916/D8RN4QW8.

Council of Science Editors:

Gulotta DR. Equidimensional adic eigenvarieties for groups with discrete series. [Doctoral Dissertation]. Columbia University; 2018. Available from: https://doi.org/10.7916/D8RN4QW8

University of Oklahoma

2. Hall, Catherine Ann. Invariant vectors and level raising operators in representations of the p-adic group GL(3).

Degree: PhD, 2012, University of Oklahoma

URL: http://hdl.handle.net/11244/318856

In the generic case, the proof uses Whittaker functions, zeta integrals, Hecke operators and Satake parameters. For the non-generic case, it is shown that unramified characters of F play a role and the matrix of each level raising operator is used. Advisors/Committee Members: Schmidt, Ralf (advisor).

Subjects/Keywords: Vector spaces; p-adic groups; p-adic analysis; Lie groups

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Hall, C. A. (2012). Invariant vectors and level raising operators in representations of the p-adic group GL(3). (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/318856

Chicago Manual of Style (16^th Edition):

Hall, Catherine Ann. “Invariant vectors and level raising operators in representations of the p-adic group GL(3).” 2012. Doctoral Dissertation, University of Oklahoma. Accessed January 18, 2021. http://hdl.handle.net/11244/318856.

MLA Handbook (7^th Edition):

Hall, Catherine Ann. “Invariant vectors and level raising operators in representations of the p-adic group GL(3).” 2012. Web. 18 Jan 2021.

Vancouver:

Hall CA. Invariant vectors and level raising operators in representations of the p-adic group GL(3). [Internet] [Doctoral dissertation]. University of Oklahoma; 2012. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/11244/318856.

Council of Science Editors:

Hall CA. Invariant vectors and level raising operators in representations of the p-adic group GL(3). [Doctoral Dissertation]. University of Oklahoma; 2012. Available from: http://hdl.handle.net/11244/318856

University of Ottawa

3. Bourgeois, Adèle. On the Restriction of Supercuspidal Representations: An In-Depth Exploration of the Data.

Degree: PhD, Sciences / Science, 2020, University of Ottawa

URL: http://dx.doi.org/10.20381/ruor-25127

► Let \mathbb{G} be a connected reductive group defined over a p-adic field F which splits over a tamely ramified extension of F, and let G… (more)

▼ Let \mathbb{G} be a connected reductive group defined over a p-adic field F which splits over a tamely ramified extension of F, and let G = \mathbb{G}(F). We also assume that the residual characteristic of F does not divide the order of the Weyl group of \mathbb{G}. Following J.K. Yu's construction, the irreducible supercuspidal representation constructed from the G-datum Ψ is denoted π_G(Ψ). The datum Ψ contains an irreducible depth-zero supercuspidal representation, which we refer to as the depth-zero part of the datum. Under our hypotheses, the J.K. Yu Construction is exhaustive. Given a connected reductive F-subgroup ℍ that contains the derived subgroup of \mathbb{G}, we study the restriction π_G(Ψ)|_H and obtain a description of its decomposition into irreducible components along with their multiplicities. We achieve this by first describing a natural restriction process from which we construct H-data from the G-datum Ψ. We then show that the obtained H-data, and conjugates thereof, construct the components of π_G(Ψ)|_H, thus providing a very precise description of the restriction. Analogously, we also describe an extension process that allows to construct G-data from an H-datum Ψ_H. Using Frobenius Reciprocity, we obtain a description for the components of \Ind_H^Gπ_H(Ψ_H). From the obtained description of π_G(Ψ)|_H, we prove that the multiplicity in π_G(Ψ)|_H is entirely determined by the multiplicity in the restriction of the depth-zero piece of the datum. Furthermore, we use Clifford theory to obtain a formula for the multiplicity of each component in π_G(Ψ)|_H. As a particular case, we take a look at the regular depth-zero supercuspidal representations and obtain a condition for a multiplicity free restriction. Finally, we show that our methods can also be used to define a restriction of Kim-Yu types, allowing to study the restriction of irreducible representations which are not supercuspidal. Advisors/Committee Members: Nevins, Monica (supervisor).

Subjects/Keywords: Supercuspidal representation; p-adic groups; Restriction

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APA (6^th Edition):

Bourgeois, A. (2020). On the Restriction of Supercuspidal Representations: An In-Depth Exploration of the Data. (Doctoral Dissertation). University of Ottawa. Retrieved from http://dx.doi.org/10.20381/ruor-25127

Chicago Manual of Style (16^th Edition):

Bourgeois, Adèle. “On the Restriction of Supercuspidal Representations: An In-Depth Exploration of the Data.” 2020. Doctoral Dissertation, University of Ottawa. Accessed January 18, 2021. http://dx.doi.org/10.20381/ruor-25127.

MLA Handbook (7^th Edition):

Bourgeois, Adèle. “On the Restriction of Supercuspidal Representations: An In-Depth Exploration of the Data.” 2020. Web. 18 Jan 2021.

Vancouver:

Bourgeois A. On the Restriction of Supercuspidal Representations: An In-Depth Exploration of the Data. [Internet] [Doctoral dissertation]. University of Ottawa; 2020. [cited 2021 Jan 18]. Available from: http://dx.doi.org/10.20381/ruor-25127.

Council of Science Editors:

Bourgeois A. On the Restriction of Supercuspidal Representations: An In-Depth Exploration of the Data. [Doctoral Dissertation]. University of Ottawa; 2020. Available from: http://dx.doi.org/10.20381/ruor-25127

University of Oklahoma

4. REPAKA, SUBHA. A REDUCIBILITY PROBLEM FOR EVEN UNITARY GROUPS: THE DEPTH ZERO CASE.

Degree: PhD, 2019, University of Oklahoma

URL: http://hdl.handle.net/11244/319641

► We study a problem concerning parabolic induction in certain p-adic unitary groups. More precisely, for E/F a quadratic extension of p-adic fields the associated unitary… (more)

Subjects/Keywords: Representation Theory of p-adic Groups

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

REPAKA, S. (2019). A REDUCIBILITY PROBLEM FOR EVEN UNITARY GROUPS: THE DEPTH ZERO CASE. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/319641

Chicago Manual of Style (16^th Edition):

REPAKA, SUBHA. “A REDUCIBILITY PROBLEM FOR EVEN UNITARY GROUPS: THE DEPTH ZERO CASE.” 2019. Doctoral Dissertation, University of Oklahoma. Accessed January 18, 2021. http://hdl.handle.net/11244/319641.

MLA Handbook (7^th Edition):

REPAKA, SUBHA. “A REDUCIBILITY PROBLEM FOR EVEN UNITARY GROUPS: THE DEPTH ZERO CASE.” 2019. Web. 18 Jan 2021.

Vancouver:

REPAKA S. A REDUCIBILITY PROBLEM FOR EVEN UNITARY GROUPS: THE DEPTH ZERO CASE. [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/11244/319641.

Council of Science Editors:

REPAKA S. A REDUCIBILITY PROBLEM FOR EVEN UNITARY GROUPS: THE DEPTH ZERO CASE. [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/319641

University of Cambridge

5. Dupré, Nicolas. Rigid Analytic Quantum Groups.

Degree: PhD, 2019, University of Cambridge

URL: https://www.repository.cam.ac.uk/handle/1810/291025

► Following constructions in rigid analytic geometry, we introduce a theory of p-adic analytic quantum groups. We first define Fréchet completions \wideparen{U_q(\mathfrak{g})} and \wideparen{𝓞_q(G)} of the… (more)

▼ Following constructions in rigid analytic geometry, we introduce a theory of p-adic analytic quantum groups. We first define Fréchet completions \wideparen{U_q(\mathfrak{g})} and \wideparen{𝓞_q(G)} of the quantized enveloping algebra of a semisimple Lie algebra \mathfrak{g} and the quantized coordinate ring of the corresponding semisimple algebraic group G respectively. We consider these to be quantum analogues of the Arens-Michael envelope of the enveloping algebra U(\mathfrak{g}) and of the algebra of rigid analytic functions on the rigid analytification of G respectively. We show that these algebras are topological Hopf algebras and, by adapting techniques extracted from work of Ardakov-Wadsley, Schmidt and Emerton in p-adic representation theory, we also show that they are Fréchet-Stein algebras and use this to investigate an analogue of category 𝓞 for \wideparen{U_q(\mathfrak{g})}. We then introduce a p-adic analytic analogue of Backelin and Kremnizer's construction of the quantum flag variety of a semisimple algebraic group, using a Banach completion of \wideparen{𝓞_q(G)}. Our main result is a Beilinson-Bernstein localisation theorem in this context. We define a category of λ-twisted D-modules on this analytic quantum flag variety. This category has a distinguished object \D_q^λ̂ which plays the role of the sheaf of λ-twisted differential operators. We show that when λ is regular and dominant, the global section functor gives an equivalence of categories between the coherent λ-twisted D-modules and the finitely presented modules over the global sections of 𝓓_q^λ̂. The construction of this analytic quantum flag variety involves working with Banach comodules over the Banach completion \OqBhat of the quantum coordinate algebra of the Borel. Along the way, we also show that Banach comodules over \OqBhat can be naturally identified with what we call topologically integrable modules over the Banach completion of Lusztig's integral form of the quantum Borel.

Subjects/Keywords: Quantum groups; D-modules; p-adic representation theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Dupré, N. (2019). Rigid Analytic Quantum Groups. (Doctoral Dissertation). University of Cambridge. Retrieved from https://www.repository.cam.ac.uk/handle/1810/291025

Chicago Manual of Style (16^th Edition):

Dupré, Nicolas. “Rigid Analytic Quantum Groups.” 2019. Doctoral Dissertation, University of Cambridge. Accessed January 18, 2021. https://www.repository.cam.ac.uk/handle/1810/291025.

MLA Handbook (7^th Edition):

Dupré, Nicolas. “Rigid Analytic Quantum Groups.” 2019. Web. 18 Jan 2021.

Vancouver:

Dupré N. Rigid Analytic Quantum Groups. [Internet] [Doctoral dissertation]. University of Cambridge; 2019. [cited 2021 Jan 18]. Available from: https://www.repository.cam.ac.uk/handle/1810/291025.

Council of Science Editors:

Dupré N. Rigid Analytic Quantum Groups. [Doctoral Dissertation]. University of Cambridge; 2019. Available from: https://www.repository.cam.ac.uk/handle/1810/291025

Columbia University

6. Li, Shizhang. On the Picard functor in formal-rigid geometry.

Degree: 2019, Columbia University

URL: https://doi.org/10.7916/d8-pgy6-6596

► In this thesis, we report three preprints [Li17a] [Li17b] and [HL17] the author wrote (the last one was written jointly with D. Hansen) during his… (more)

Subjects/Keywords: Mathematics; Picard groups; Geometry, Algebraic; Hodge theory; p-adic analysis

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Li, S. (2019). On the Picard functor in formal-rigid geometry. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/d8-pgy6-6596

Chicago Manual of Style (16^th Edition):

Li, Shizhang. “On the Picard functor in formal-rigid geometry.” 2019. Doctoral Dissertation, Columbia University. Accessed January 18, 2021. https://doi.org/10.7916/d8-pgy6-6596.

MLA Handbook (7^th Edition):

Li, Shizhang. “On the Picard functor in formal-rigid geometry.” 2019. Web. 18 Jan 2021.

Vancouver:

Li S. On the Picard functor in formal-rigid geometry. [Internet] [Doctoral dissertation]. Columbia University; 2019. [cited 2021 Jan 18]. Available from: https://doi.org/10.7916/d8-pgy6-6596.

Council of Science Editors:

Li S. On the Picard functor in formal-rigid geometry. [Doctoral Dissertation]. Columbia University; 2019. Available from: https://doi.org/10.7916/d8-pgy6-6596

7. Dupré, Nicolas. Rigid analytic quantum groups.

Degree: PhD, 2019, University of Cambridge

URL: https://doi.org/10.17863/CAM.38204 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.774668

► Following constructions in rigid analytic geometry, we introduce a theory of p-adic analytic quantum groups. We first define Fréchet completions \wideparen{U_q(\mathfrak{g})} and \wideparen{𝓞_q(G)} of the… (more)

▼ Following constructions in rigid analytic geometry, we introduce a theory of p-adic analytic quantum groups. We first define Fréchet completions \wideparen{U_q(\mathfrak{g})} and \wideparen{𝓞_q(G)} of the quantized enveloping algebra of a semisimple Lie algebra \mathfrak{g} and the quantized coordinate ring of the corresponding semisimple algebraic group G respectively. We consider these to be quantum analogues of the Arens-Michael envelope of the enveloping algebra U(\mathfrak{g}) and of the algebra of rigid analytic functions on the rigid analytification of G respectively. We show that these algebras are topological Hopf algebras and, by adapting techniques extracted from work of Ardakov-Wadsley, Schmidt and Emerton in p-adic representation theory, we also show that they are Fréchet-Stein algebras and use this to investigate an analogue of category 𝓞 for \wideparen{U_q(\mathfrak{g})}. We then introduce a p-adic analytic analogue of Backelin and Kremnizer's construction of the quantum flag variety of a semisimple algebraic group, using a Banach completion of \wideparen{𝓞_q(G)}. Our main result is a Beilinson-Bernstein localisation theorem in this context. We define a category of λ-twisted D-modules on this analytic quantum flag variety. This category has a distinguished object \D_q^λ̂ which plays the role of the sheaf of λ-twisted differential operators. We show that when λ is regular and dominant, the global section functor gives an equivalence of categories between the coherent λ-twisted D-modules and the finitely presented modules over the global sections of 𝓓_q^λ̂. The construction of this analytic quantum flag variety involves working with Banach comodules over the Banach completion \OqBhat of the quantum coordinate algebra of the Borel. Along the way, we also show that Banach comodules over \OqBhat can be naturally identified with what we call topologically integrable modules over the Banach completion of Lusztig's integral form of the quantum Borel.

Subjects/Keywords: Quantum groups; D-modules; p-adic representation theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Dupré, N. (2019). Rigid analytic quantum groups. (Doctoral Dissertation). University of Cambridge. Retrieved from https://doi.org/10.17863/CAM.38204 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.774668

Chicago Manual of Style (16^th Edition):

Dupré, Nicolas. “Rigid analytic quantum groups.” 2019. Doctoral Dissertation, University of Cambridge. Accessed January 18, 2021. https://doi.org/10.17863/CAM.38204 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.774668.

MLA Handbook (7^th Edition):

Dupré, Nicolas. “Rigid analytic quantum groups.” 2019. Web. 18 Jan 2021.

Vancouver:

Dupré N. Rigid analytic quantum groups. [Internet] [Doctoral dissertation]. University of Cambridge; 2019. [cited 2021 Jan 18]. Available from: https://doi.org/10.17863/CAM.38204 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.774668.

Council of Science Editors:

Dupré N. Rigid analytic quantum groups. [Doctoral Dissertation]. University of Cambridge; 2019. Available from: https://doi.org/10.17863/CAM.38204 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.774668

Université Montpellier II

8. Schoemann, Claudia. Représentations unitaires de U(5) p-adique : Unitary representations of p-adic U(5).

Degree: Docteur es, Mathématiques et modélisation, 2014, Université Montpellier II

URL: http://www.theses.fr/2014MON20101

► Nous étudions les représentations complexes, induites par l'induction parabolique, du groupe U(5), défini sur un corps local non-archimedean de caractéristique 0. C'est Qp ou une… (more)

▼ Nous étudions les représentations complexes, induites par l'induction parabolique, du groupe U(5), défini sur un corps local non-archimedean de caractéristique 0. C'est Qp ou une extension finie de Qp .On parle des 'corps p-adiques'. Soit F un corps p-adique. Soit E : F une extension de corps de degré 2. Soit Gal(E : F ) = {id, σ}le groupe de Galois. On écrit σ(x) = overline{x} forall x ∈ E. Soit | |p la norme p-adique de E. Soient E* = E {0} et E 1 = {x ∈ E | xoverline{x}= 1} .U (5) a trois sous-groupes paraboliques propres. Soit P0 le sous-groupe parabolique minimal et soientP1 et P2 les deux sous-groupes paraboliques maximaux. Soient M0 , M1 et M2 les sous-groupes de Levi standards et soient N0 , N1 et N2 des sous-groupes unipotents de U (5). On a la décomposition de Levi Pi = Mi Ni , i ∈{0, 1, 2} .M0 = E* × E* × E 1 est le sous-groupe de Levi minimal, M1 = GL(2, E) × E 1 et M2 = E* × U(3) sont les sous-groupes de Levi maximaux.On considère les représentations des sous-groupes de Levi, et on les étend trivialement au sous-groupes unipotents pour obtenir des représentations des sous-groupes paraboliques. On exécute une procédure appelée 'l'induction parabolique' pour obtenir les représentations de U (5). Nous considérons les représentations de M0 , puis les représentations non-cuspidales, induites à partir de M1 et M2 . Cela veut dire que la représentation du facteur GL(2, E) de M1 est un sous-quotient propre d'une représentation induite de E* × E* à GL(2, E). La représentation du facteur U (3) de M2 est un sous-quotient propre d'une représentation induite de E* × E 1 à U(3). Un exemple pour M1 est | det |α χ(det) StGL2 * λ' , où α ∈ R, χ est un caractère unitaire de E* , StGL2 est la représentation Steinberg de GL(2, E) et λ' est un caractère de E 1 . Un exemple pour M2 est| |α χ λ (det) StU (3) , où α ∈ R, χ est un caractère unitaire de E* , λ' est un caractère unitaire de E 1et StU (3) est la représentation Steinberg de U(3). On remarque que λ' est unitaire.Ensuite on considère les représentations cuspidales de M1 .On détermine les droites et les points de réductibilité des représentations de U(5) et on détermine les sous-quotients irréductibles. Ensuite, sauf quelque cas particuliers, on détermine le dual unitaire de U(5)par rapport au quotients de Langlands. Les représentations complexes, paraboliquement induites, de U(3) sur un corps p-adique sont classifiées par Charles David Keys dans [Key84], les représentations complexes, paraboliquement induites, de U(4)sur un corps p-adique sont classifiées par Kazuko Konno dans [Kon01]. p>We study the parabolically induced complex representations of the unitary group in 5 variables - U(5)- defined over a non-archimedean local field of characteristic 0. This is Qp or a finite extension of Qp ,where p is a prime number. We speak of a 'p-adic field'.Let F be a p-adic field. Let E : F be a field extension of degree two. Let Gal(E : F ) = {id, σ}. We write σ(x) = overline{x} forall x ∈ E. Let | |p denote the p-adic norm on E. Let E* := E {0} and let E 1 := {x ∈ E | x…p> Advisors/Committee Members: Badulescu, Alexandru Ioan (thesis director), Stuhler, Ulrich (thesis director).

Subjects/Keywords: Représentations; Groupe unitaire; Unitaire; Groupes p-Adiques; Representations; Unitary group; Unitary; P-Adic groups

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Schoemann, C. (2014). Représentations unitaires de U(5) p-adique : Unitary representations of p-adic U(5). (Doctoral Dissertation). Université Montpellier II. Retrieved from http://www.theses.fr/2014MON20101

Chicago Manual of Style (16^th Edition):

Schoemann, Claudia. “Représentations unitaires de U(5) p-adique : Unitary representations of p-adic U(5).” 2014. Doctoral Dissertation, Université Montpellier II. Accessed January 18, 2021. http://www.theses.fr/2014MON20101.

MLA Handbook (7^th Edition):

Schoemann, Claudia. “Représentations unitaires de U(5) p-adique : Unitary representations of p-adic U(5).” 2014. Web. 18 Jan 2021.

Vancouver:

Schoemann C. Représentations unitaires de U(5) p-adique : Unitary representations of p-adic U(5). [Internet] [Doctoral dissertation]. Université Montpellier II; 2014. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2014MON20101.

Council of Science Editors:

Schoemann C. Représentations unitaires de U(5) p-adique : Unitary representations of p-adic U(5). [Doctoral Dissertation]. Université Montpellier II; 2014. Available from: http://www.theses.fr/2014MON20101

Universidade de Brasília

9. Anderson Luiz Pedrosa Porto. Extensões cíclicas de grupos pro-p livres e representações inteiras p-ádicas.

Degree: 2009, Universidade de Brasília

URL: http://bdtd.bce.unb.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=5994

► Seja F um grupo pro-p livre de posto finito e considere Cpn o grupo cíclico de ordem pn. Nessa tese nós exibimos os ZpCpn- reticulados… (more)

Subjects/Keywords: grupos pro-p virtualmente livres e representações inteiras p-ádicas; MATEMATICA; virtually free pro-p groups, integral p-adic representations

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Porto, A. L. P. (2009). Extensões cíclicas de grupos pro-p livres e representações inteiras p-ádicas. (Thesis). Universidade de Brasília. Retrieved from http://bdtd.bce.unb.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=5994

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Porto, Anderson Luiz Pedrosa. “Extensões cíclicas de grupos pro-p livres e representações inteiras p-ádicas.” 2009. Thesis, Universidade de Brasília. Accessed January 18, 2021. http://bdtd.bce.unb.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=5994.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Porto, Anderson Luiz Pedrosa. “Extensões cíclicas de grupos pro-p livres e representações inteiras p-ádicas.” 2009. Web. 18 Jan 2021.

Vancouver:

Porto ALP. Extensões cíclicas de grupos pro-p livres e representações inteiras p-ádicas. [Internet] [Thesis]. Universidade de Brasília; 2009. [cited 2021 Jan 18]. Available from: http://bdtd.bce.unb.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=5994.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Porto ALP. Extensões cíclicas de grupos pro-p livres e representações inteiras p-ádicas. [Thesis]. Universidade de Brasília; 2009. Available from: http://bdtd.bce.unb.br/tedesimplificado/tde_busca/arquivo.php?codArquivo=5994

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

10. Ray, Jishnu. Iwasawa algebras for p-adic Lie groups and Galois groups : Algèbres d’Iwasawa pour les groupes de Lie p-adiques et les groupes de Galois.

Degree: Docteur es, Mathématiques fondamentales, 2018, Université Paris-Saclay (ComUE)

URL: http://www.theses.fr/2018SACLS189

► Un outil clé dans la théorie des représentations p-adiques est l'algèbre d'Iwasawa, construit par Iwasawa pour étudier les nombres de classes d'une tour de corps… (more)

Subjects/Keywords: Algèbres d’Iwasawa; Groupes de Lie p-Adiques; Groupes de Galois; Iwasawa algebras; P-Adic Lie groups; Galois groups

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ray, J. (2018). Iwasawa algebras for p-adic Lie groups and Galois groups : Algèbres d’Iwasawa pour les groupes de Lie p-adiques et les groupes de Galois. (Doctoral Dissertation). Université Paris-Saclay (ComUE). Retrieved from http://www.theses.fr/2018SACLS189

Chicago Manual of Style (16^th Edition):

Ray, Jishnu. “Iwasawa algebras for p-adic Lie groups and Galois groups : Algèbres d’Iwasawa pour les groupes de Lie p-adiques et les groupes de Galois.” 2018. Doctoral Dissertation, Université Paris-Saclay (ComUE). Accessed January 18, 2021. http://www.theses.fr/2018SACLS189.

MLA Handbook (7^th Edition):

Ray, Jishnu. “Iwasawa algebras for p-adic Lie groups and Galois groups : Algèbres d’Iwasawa pour les groupes de Lie p-adiques et les groupes de Galois.” 2018. Web. 18 Jan 2021.

Vancouver:

Ray J. Iwasawa algebras for p-adic Lie groups and Galois groups : Algèbres d’Iwasawa pour les groupes de Lie p-adiques et les groupes de Galois. [Internet] [Doctoral dissertation]. Université Paris-Saclay (ComUE); 2018. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2018SACLS189.

Council of Science Editors:

Ray J. Iwasawa algebras for p-adic Lie groups and Galois groups : Algèbres d’Iwasawa pour les groupes de Lie p-adiques et les groupes de Galois. [Doctoral Dissertation]. Université Paris-Saclay (ComUE); 2018. Available from: http://www.theses.fr/2018SACLS189

Penn State University

11. Crisp, Tyrone. Equivariant Homology and Representation Theory of p-adic Groups.

Degree: 2012, Penn State University

URL: https://submit-etda.libraries.psu.edu/catalog/15221

► The two standard procedures for constructing representations of a reductive p-adic group G are: parabolic induction from a Levi subgroup; and compact induction from a… (more)

▼ The two standard procedures for constructing representations of a reductive p-adic group G are: parabolic induction from a Levi subgroup; and compact induction from a compact, open subgroup. Parabolic induction, along with its adjoint Jacquet restriction, underlie the theory of the Bernstein center. On the other hand, the representations of the compact open subgroups of G are organized by chamber homology, which is a kind of equivariant homology for the Bruhat-Tits building. This dissertation studies the action of the parabolic/Jacquet functors and the Bernstein center on chamber homology. We define an action of the Jacquet functors on chamber homology, and on the Hochschild homology of the Hecke algebra of G. Explicit descriptions of these actions are given: for general G, in the case of Jacquet restriction; and for G=SL(2), in the case of parabolic induction. Our computations extend earlier results of van Dijk, Nistor, and Dat. We conjecture (for general G) and prove (for SL(2)) that a formula of Clozel, relating the Jacquet functors in degree zero with a certain geometric partition of G, continues to hold for the action of the Jacquet functors on higher homology. Our result for G=SL(2) implies that the idempotents in the Bernstein center act on higher homology as diagonal operators, with respect to the decomposition of G into its compact and non-compact parts; this extends an earlier result of Dat in degree zero. We also construct a canonical-up-to-homotopy chain complex which computes the Bernstein components of chamber homology. The problem of computing these components was first raised by Baum, Higson and Plymen in their paper of 2000, and our result provides a new perspective on the conjectures made in that paper. Advisors/Committee Members: Nigel David Higson, Dissertation Advisor/Co-Advisor, Nigel David Higson, Committee Chair/Co-Chair, Paul Frank Baum, Committee Member, Woodrow Dale Brownawell, Committee Member, Martin Bojowald, Committee Member.

Subjects/Keywords: Equivariant homology; representation theory of reductive p-adic groups; the Baum-Connes conjecture

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Crisp, T. (2012). Equivariant Homology and Representation Theory of p-adic Groups. (Thesis). Penn State University. Retrieved from https://submit-etda.libraries.psu.edu/catalog/15221

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Crisp, Tyrone. “Equivariant Homology and Representation Theory of p-adic Groups.” 2012. Thesis, Penn State University. Accessed January 18, 2021. https://submit-etda.libraries.psu.edu/catalog/15221.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Crisp, Tyrone. “Equivariant Homology and Representation Theory of p-adic Groups.” 2012. Web. 18 Jan 2021.

Vancouver:

Crisp T. Equivariant Homology and Representation Theory of p-adic Groups. [Internet] [Thesis]. Penn State University; 2012. [cited 2021 Jan 18]. Available from: https://submit-etda.libraries.psu.edu/catalog/15221.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Crisp T. Equivariant Homology and Representation Theory of p-adic Groups. [Thesis]. Penn State University; 2012. Available from: https://submit-etda.libraries.psu.edu/catalog/15221

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

12. Druart, Benjamin. Groupes linéaires définissables dans les corps p-adiques : Linear groups definable in p-adic fields.

Degree: Docteur es, Mathématiques, 2015, Université Grenoble Alpes (ComUE)

URL: http://www.theses.fr/2015GREAM042

► Cette thèse est consacrée à l’étude des groupes linéaires définissables dans les corpsp-adiques. Les tores anisotropes jouent un rôle central tout au long de ce… (more)

Subjects/Keywords: Théorie des modèles; Groupes définissables; P-adique; P-minimalité; P-connexité; Model theory; Definable groups; P-adic; P-minimality; P-connectedness; 510

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APA (6^th Edition):

Druart, B. (2015). Groupes linéaires définissables dans les corps p-adiques : Linear groups definable in p-adic fields. (Doctoral Dissertation). Université Grenoble Alpes (ComUE). Retrieved from http://www.theses.fr/2015GREAM042

Chicago Manual of Style (16^th Edition):

Druart, Benjamin. “Groupes linéaires définissables dans les corps p-adiques : Linear groups definable in p-adic fields.” 2015. Doctoral Dissertation, Université Grenoble Alpes (ComUE). Accessed January 18, 2021. http://www.theses.fr/2015GREAM042.

MLA Handbook (7^th Edition):

Druart, Benjamin. “Groupes linéaires définissables dans les corps p-adiques : Linear groups definable in p-adic fields.” 2015. Web. 18 Jan 2021.

Vancouver:

Druart B. Groupes linéaires définissables dans les corps p-adiques : Linear groups definable in p-adic fields. [Internet] [Doctoral dissertation]. Université Grenoble Alpes (ComUE); 2015. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2015GREAM042.

Council of Science Editors:

Druart B. Groupes linéaires définissables dans les corps p-adiques : Linear groups definable in p-adic fields. [Doctoral Dissertation]. Université Grenoble Alpes (ComUE); 2015. Available from: http://www.theses.fr/2015GREAM042

13. TANG U-LIANG. The plancherel Formula of L^2(N_0 GIpsi) where G is a p-adic group.

Degree: 2011, National University of Singapore

URL: http://scholarbank.nus.edu.sg/handle/10635/27937

Subjects/Keywords: Plancherel formula; p-adic reductive groups; Whittaker models

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APA (6^th Edition):

U-LIANG, T. (2011). The plancherel Formula of L^2(N_0 GIpsi) where G is a p-adic group. (Thesis). National University of Singapore. Retrieved from http://scholarbank.nus.edu.sg/handle/10635/27937

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

U-LIANG, TANG. “The plancherel Formula of L^2(N_0 GIpsi) where G is a p-adic group.” 2011. Thesis, National University of Singapore. Accessed January 18, 2021. http://scholarbank.nus.edu.sg/handle/10635/27937.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

U-LIANG, TANG. “The plancherel Formula of L^2(N_0 GIpsi) where G is a p-adic group.” 2011. Web. 18 Jan 2021.

Vancouver:

U-LIANG T. The plancherel Formula of L^2(N_0 GIpsi) where G is a p-adic group. [Internet] [Thesis]. National University of Singapore; 2011. [cited 2021 Jan 18]. Available from: http://scholarbank.nus.edu.sg/handle/10635/27937.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

U-LIANG T. The plancherel Formula of L^2(N_0 GIpsi) where G is a p-adic group. [Thesis]. National University of Singapore; 2011. Available from: http://scholarbank.nus.edu.sg/handle/10635/27937

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

14. Rajhi, Anis. Cohomologie d'espaces fibrés au-dessus de l'immeuble affine de GL(N) : Cohomology of fiber spaces over the affine building of GL(N).

Degree: Docteur es, Mathématiques et leurs interactions, 2014, Poitiers

URL: http://www.theses.fr/2014POIT2266

► Cette thèse se compose de deux parties : dans la première on donne une généralisation d'espaces fibrés construit au-dessus de l'arbre de Bruhat-Tits du groupe… (more)

▼ Cette thèse se compose de deux parties : dans la première on donne une généralisation d'espaces fibrés construit au-dessus de l'arbre de Bruhat-Tits du groupe GL(2) sur un corps p-adique. Plus précisément, on a construit une tour projective d'espaces fibrés au-dessus du 1-squelette de l'immeuble de Bruhat-Tits de GL(n) sur un corps p-adique. On a montré que toute représentation cuspidale π de GL(n) se plonge avec multiplicité 1 dans le premier espace de cohomologie à support compact du k-ième étage de la tour, où k est le conducteur de π. Dans la deuxième partie on a construit un espace W au-dessus de la subdivision barycentrique de l'immeuble de Bruhat-Tits de GL(n) sur un corps p-adique. Pour étudier les espaces de cohomologie à support compact d'un G-complexe simplicial propre X muni d'un recouvrement équivariant assez particulier, où G est un groupe localement compact totalement discontinu, on a montré l'existence d'une suite spactrale dans la catégorie des représentations lisses de G qui converge vers la cohomologie à support compact de X. En s'appuyant sur ce dernier résultat, on a calculé la cohomologie à support compact de l'espace W comme représentation lisse de GL(n) puis on a montrer que les types cuspidaux de niveau 0 de GL(n) apparaissent avec multiplicité fini dans la cohomologie de certain complexes fini construit au niveau résiduel. Comme conséquence, on montre que les représentations cuspidales de niveau 0 de GL(n) apparaissent dans la cohomologie de W. p>This thesis consists of two parts: the first one gives a generalization of fiber spaces constructed above the Bruhat-Tits tree of the group GL(2) over a p-adic field. More precisely we construct a projective tower of spaces over the 1-skeleton of the Bruhat-Tits building of GL(n) over a p-adic field. We show that any cuspidal representation π of GL(n) embeds with multiplicity 1 in the first cohomology space with compact support of k-th floor of the tower, where k is the conductor of π. In the second part we constructed a space W above the barycentric subdivision of the Bruhat-Tits building of GL(n) over a p-adic field. To study the cohomology spaces with compact support of a proper G-simplicial complex X with a rather special equivariant covering, where G is a totally disconnected locally compact group, we show the existence of a spactrale sequence in the category of smooth representations of G that converges to the cohomology with compact support of X. Based on the latter results, we calculate the cohomology with compact support of W as smooth representation of GL(n), and then we show that the level zero cuspidal types of GL(n) appear with finite multiplicity in the cohomology of some finite simplicial complexes constructed in residual level. As a consequence, we show that the cuspidal representations of level 0 of GL(n) appear in the cohomology of W.p> Advisors/Committee Members: Broussous, Paul (thesis director).

Subjects/Keywords: Représentations des groupes p-Adiques; Représentations des groupes réductifs finis; Immeuble de Bruhat-Tits; Cohomologie à support compact; Types de Bushnell et Kutzko d'un groupe réductif p-Adique; Representations of p-Adic groups; Representations of finite reductive groups; Bruhat-Tits buildings; Cohomology with compact support; Bushnell and Kutzko's types of reductive p-Adic groups; 512.74

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APA (6^th Edition):

Rajhi, A. (2014). Cohomologie d'espaces fibrés au-dessus de l'immeuble affine de GL(N) : Cohomology of fiber spaces over the affine building of GL(N). (Doctoral Dissertation). Poitiers. Retrieved from http://www.theses.fr/2014POIT2266

Chicago Manual of Style (16^th Edition):

Rajhi, Anis. “Cohomologie d'espaces fibrés au-dessus de l'immeuble affine de GL(N) : Cohomology of fiber spaces over the affine building of GL(N).” 2014. Doctoral Dissertation, Poitiers. Accessed January 18, 2021. http://www.theses.fr/2014POIT2266.

MLA Handbook (7^th Edition):

Rajhi, Anis. “Cohomologie d'espaces fibrés au-dessus de l'immeuble affine de GL(N) : Cohomology of fiber spaces over the affine building of GL(N).” 2014. Web. 18 Jan 2021.

Vancouver:

Rajhi A. Cohomologie d'espaces fibrés au-dessus de l'immeuble affine de GL(N) : Cohomology of fiber spaces over the affine building of GL(N). [Internet] [Doctoral dissertation]. Poitiers; 2014. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2014POIT2266.

Council of Science Editors:

Rajhi A. Cohomologie d'espaces fibrés au-dessus de l'immeuble affine de GL(N) : Cohomology of fiber spaces over the affine building of GL(N). [Doctoral Dissertation]. Poitiers; 2014. Available from: http://www.theses.fr/2014POIT2266

15. Cohen, Joël. Deux résultats d'analyse harmonique sur un groupe P-adique tordu : Two results of Harmonic Anlysis on a twisted p-adic group.

Degree: Docteur es, Mathématiques, 2013, Aix Marseille Université

URL: http://www.theses.fr/2013AIXM4088

► Dans cette thèse, nous montrons deux résultats d'analyse harmonique sur un groupe réductif p-adique tordu.Le premier résultat est un analogue non connexe au théorème matriciel… (more)

▼ Dans cette thèse, nous montrons deux résultats d'analyse harmonique sur un groupe réductif p-adique tordu.Le premier résultat est un analogue non connexe au théorème matriciel de Paley Wiener. Soit G réductif p-adique (non nécessairement connexe). L'algèbre de Hecke des fonctions complexes sur G localement constantes à support compact agit les représentations complexe lisses irréductibles de G. L'action d'une fonction est vue comme sa transformée de Fourier. Le théorème fournit une caractérisation de l'image de l'algèbre de Hecke par la transformée de Fourier, ainsi qu'une formule d'inversion.Le second résultat établit une identité spectrale sur le groupe GLn tordu (avec n pair, sur un corps p-adique) pour l'intégrale orbitale tordue sur la classe de conjugaison tordue stable des matrices antisymétriques inversibles. Cette dernière s'exprime comme une intégrale sur les représentations irréductibles tempérées auto-duales de GLn dont le paramètre de Langlands est symplectique. La preuve repose sur le transfert endoscopique. p>In this thesis, we show tow results of Harmonic Analysis on réductive p-adic group.The first results extends the matrix Paley-Wiener theorem to the non-connected case. Let G be reductive (non necessarily connected) p-adic group. The Hecke algebra of compactly supported locally constant complex functions on G acts on complex smooth irreducible representations of G. The action of a given function is seen as its Fourier transform. The theorem characterizes the image of the Hecke algebra under the Fourier transform and provides an inversion formula.The second result is the proof of a spectral identity on the so-called twisted GLn group (where n is even, on a p-adic field) for the twisted orbital integral over the twisted stable conjugacy class of antisymetric invertible matrices. We express it as an integral over those irreducible tempered auto-dual representations of GLn whose Langlands' parameter is symplectic. Our proof uses endoscopic transfer.p> Advisors/Committee Members: Heiermann, Volker (thesis director).

Subjects/Keywords: Mathématiques; Analyse Harmonique p-adique; Théorie des Représentations; Groupes tordus; Programme de Langlands; Endoscopie; Mathematics; P-adic Harmonic analysis; Representation Theory; Twisted groups; Langlands program; Endoscopy; 510

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APA (6^th Edition):

Cohen, J. (2013). Deux résultats d'analyse harmonique sur un groupe P-adique tordu : Two results of Harmonic Anlysis on a twisted p-adic group. (Doctoral Dissertation). Aix Marseille Université. Retrieved from http://www.theses.fr/2013AIXM4088

Chicago Manual of Style (16^th Edition):

Cohen, Joël. “Deux résultats d'analyse harmonique sur un groupe P-adique tordu : Two results of Harmonic Anlysis on a twisted p-adic group.” 2013. Doctoral Dissertation, Aix Marseille Université. Accessed January 18, 2021. http://www.theses.fr/2013AIXM4088.

MLA Handbook (7^th Edition):

Cohen, Joël. “Deux résultats d'analyse harmonique sur un groupe P-adique tordu : Two results of Harmonic Anlysis on a twisted p-adic group.” 2013. Web. 18 Jan 2021.

Vancouver:

Cohen J. Deux résultats d'analyse harmonique sur un groupe P-adique tordu : Two results of Harmonic Anlysis on a twisted p-adic group. [Internet] [Doctoral dissertation]. Aix Marseille Université 2013. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2013AIXM4088.

Council of Science Editors:

Cohen J. Deux résultats d'analyse harmonique sur un groupe P-adique tordu : Two results of Harmonic Anlysis on a twisted p-adic group. [Doctoral Dissertation]. Aix Marseille Université 2013. Available from: http://www.theses.fr/2013AIXM4088

16. Cui, Peiyi. Modulo l-representations of p-adic groups SL_n(F) : Représentations modulo l des groupes p-adiques SL_n(F).

Degree: Docteur es, Mathématiques et leurs interactions, 2019, Rennes 1

URL: http://www.theses.fr/2019REN1S050

► Fixons un nombre premier p. Soit k un corps algébriquement clos de caractéristique l différent que p. Nous construisons les k-types maximaux simples cuspidaux des… (more)

Subjects/Keywords: Représentations modulo l; Groupes spéciaux linéaires p-Adiques; Support supercuspidal; Types de Bushnell-Kutzko; Modular l representations; P-Adic special linear groups; Supercuspidal support; Bushnell-Kutzko types

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APA (6^th Edition):

Cui, P. (2019). Modulo l-representations of p-adic groups SL_n(F) : Représentations modulo l des groupes p-adiques SL_n(F). (Doctoral Dissertation). Rennes 1. Retrieved from http://www.theses.fr/2019REN1S050

Chicago Manual of Style (16^th Edition):

Cui, Peiyi. “Modulo l-representations of p-adic groups SL_n(F) : Représentations modulo l des groupes p-adiques SL_n(F).” 2019. Doctoral Dissertation, Rennes 1. Accessed January 18, 2021. http://www.theses.fr/2019REN1S050.

MLA Handbook (7^th Edition):

Cui, Peiyi. “Modulo l-representations of p-adic groups SL_n(F) : Représentations modulo l des groupes p-adiques SL_n(F).” 2019. Web. 18 Jan 2021.

Vancouver:

Cui P. Modulo l-representations of p-adic groups SL_n(F) : Représentations modulo l des groupes p-adiques SL_n(F). [Internet] [Doctoral dissertation]. Rennes 1; 2019. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2019REN1S050.

Council of Science Editors:

Cui P. Modulo l-representations of p-adic groups SL_n(F) : Représentations modulo l des groupes p-adiques SL_n(F). [Doctoral Dissertation]. Rennes 1; 2019. Available from: http://www.theses.fr/2019REN1S050

University of Michigan

17. Gordon, Julia. Some applications of motivic integration to the representation theory of p -adic groups.

Degree: PhD, Pure Sciences, 2003, University of Michigan

URL: http://hdl.handle.net/2027.42/123392

► Let X be a variety over a field k. Motivic integration, introduced by M. Kontsevich in 1995, is a formal procedure that associates virtual Chow… (more)

▼ Let X be a variety over a field k. Motivic integration, introduced by M. Kontsevich in 1995, is a formal procedure that associates virtual Chow motives (or virtual equivalence classes of varieties) with subsets of X (k[[t]]), where k[[t]] is the ring of formal Taylor series with coefficients in k. It is analogous to a measure theory in every way except that the values of the motivic measure are not numbers but formal symbols associated with geometric objects such as Chow motives. In Part I of the thesis, a motivic Haar measure on groups of the form G(k((t))) is defined, where G is a reductive algebraic group defined over an algebraically closed field k of characteristic zero. The difficulty is contained in extending the original definition of motivic measure from the objects over formal Taylor series to the objects over formal Laurent series. This result is motivated by the hope that it would eventually help to develop a theory for groups of the form G(k((t))) that would be analogous to the representation theory of p-adic groups. Part II, which is independent of Part I, uses a different kind of motivic integration that specializes to p-adic integration for almost all primes p. Let G be the group Sp₂_n or SO₂_n₊₁. Let F be a number field. Let o be a logical formula that defines a subset of G(F_v) for any finite place v. In Part II, the arithmetic motivic integration theory, which is due to J. Denef and F. Loeser, is used to deduce the existence of virtual Chow motives such that the trace of v-Frobenius action on them gives the values of the distribution characters of a certain class of representations of G( <blkbd>Fv</blkbd> ) on the set of regular topologically unipotent elements, for almost all finite places v of F. A variant of this statement for function fields is proved also. This gives a uniform (independent of p) way of thinking of the distribution characters, and illustrates their geometric nature. Advisors/Committee Members: Hales, Thomas C. (advisor), Griess, Robert L. (advisor).

Subjects/Keywords: Applications; Chow Motives; Frobenius Action; Motivic Integration; P-adic Groups; Representation Theory; Some

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gordon, J. (2003). Some applications of motivic integration to the representation theory of p -adic groups. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/123392

Chicago Manual of Style (16^th Edition):

Gordon, Julia. “Some applications of motivic integration to the representation theory of p -adic groups.” 2003. Doctoral Dissertation, University of Michigan. Accessed January 18, 2021. http://hdl.handle.net/2027.42/123392.

MLA Handbook (7^th Edition):

Gordon, Julia. “Some applications of motivic integration to the representation theory of p -adic groups.” 2003. Web. 18 Jan 2021.

Vancouver:

Gordon J. Some applications of motivic integration to the representation theory of p -adic groups. [Internet] [Doctoral dissertation]. University of Michigan; 2003. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2027.42/123392.

Council of Science Editors:

Gordon J. Some applications of motivic integration to the representation theory of p -adic groups. [Doctoral Dissertation]. University of Michigan; 2003. Available from: http://hdl.handle.net/2027.42/123392

University of Michigan

18. Korman, Jonathan David. A character formula for compact elements using the building.

Degree: PhD, Pure Sciences, 2002, University of Michigan

URL: http://hdl.handle.net/2027.42/123216

► In a 1997 paper, Schneider and Stuhler gave a formula relating the value of an admissible character of a p-adic group at an elliptic element… (more)

Subjects/Keywords: Building; Character; Compact Elements; Formula; Number Theory; P-adic Groups; Representation Theory; Using

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APA (6^th Edition):

Korman, J. D. (2002). A character formula for compact elements using the building. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/123216

Chicago Manual of Style (16^th Edition):

Korman, Jonathan David. “A character formula for compact elements using the building.” 2002. Doctoral Dissertation, University of Michigan. Accessed January 18, 2021. http://hdl.handle.net/2027.42/123216.

MLA Handbook (7^th Edition):

Korman, Jonathan David. “A character formula for compact elements using the building.” 2002. Web. 18 Jan 2021.

Vancouver:

Korman JD. A character formula for compact elements using the building. [Internet] [Doctoral dissertation]. University of Michigan; 2002. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2027.42/123216.

Council of Science Editors:

Korman JD. A character formula for compact elements using the building. [Doctoral Dissertation]. University of Michigan; 2002. Available from: http://hdl.handle.net/2027.42/123216

19. Chan, Kei Yuen. Extensions of graded affine hecke algebra modules.

Degree: PhD, Mathematics, 2014, University of Utah

URL: http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3318/rec/997

► In this dissertation, we study extensions of graded ane Hecke algebra modules. In particular, based on an explicit projective resolution on graded ane Hecke algebra… (more)

Subjects/Keywords: Extension of modules; Hecke algebras; Homological algebra; p-adic groups

…the ´ etale cohomology of p-adic domains, Orlik [Or] also computed the Ext-groups… …conjecture. 2 While our work is motivated from some results in the setting of p-adic groups and… …to discrete series of p-adic groups when the parameter function is positive and equal… …extensions of smooth representations of p-adic groups and extensions of graded affine Hecke algebra… …modules. However, to translate the results to the level of p-adic groups, one may have to go…

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APA (6^th Edition):

Chan, K. Y. (2014). Extensions of graded affine hecke algebra modules. (Doctoral Dissertation). University of Utah. Retrieved from http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3318/rec/997

Chicago Manual of Style (16^th Edition):

Chan, Kei Yuen. “Extensions of graded affine hecke algebra modules.” 2014. Doctoral Dissertation, University of Utah. Accessed January 18, 2021. http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3318/rec/997.

MLA Handbook (7^th Edition):

Chan, Kei Yuen. “Extensions of graded affine hecke algebra modules.” 2014. Web. 18 Jan 2021.

Vancouver:

Chan KY. Extensions of graded affine hecke algebra modules. [Internet] [Doctoral dissertation]. University of Utah; 2014. [cited 2021 Jan 18]. Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3318/rec/997.

Council of Science Editors:

Chan KY. Extensions of graded affine hecke algebra modules. [Doctoral Dissertation]. University of Utah; 2014. Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3318/rec/997

20. Wesolek, Phillip R. The Global Structure of Totally Disconnected Locally Compact Polish Groups.

Degree: 2014, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/18994

► This thesis studies the global structure of totally disconnected locally compact Polish groups. We first identify a fundamental class of totally disconnected locally compact Polish… (more)

Subjects/Keywords: Descriptive Set Theory; Polish groups; totally disconnected locally compact groups; p-adic Lie groups; Elementary groups

…that l.c.s.c. p-adic Lie groups meet the hypotheses of the previous theorem. The next thread… …n. Theorem 0.15. Let P be the class of all l.c.s.c. p-adic Lie groups for all p. If G is… …groups. Indeed, [18] shows the kernel of the adjoint representation of a p-adic Lie… …Lie groups over the field of p-adics are essential tools. In geometric group theory, the… …Lie groups over the p-adics, and Neretin’s group of spheromorphisms. Worse still, techniques…

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APA (6^th Edition):

Wesolek, P. R. (2014). The Global Structure of Totally Disconnected Locally Compact Polish Groups. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/18994

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Wesolek, Phillip R. “The Global Structure of Totally Disconnected Locally Compact Polish Groups.” 2014. Thesis, University of Illinois – Chicago. Accessed January 18, 2021. http://hdl.handle.net/10027/18994.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Wesolek, Phillip R. “The Global Structure of Totally Disconnected Locally Compact Polish Groups.” 2014. Web. 18 Jan 2021.

Vancouver:

Wesolek PR. The Global Structure of Totally Disconnected Locally Compact Polish Groups. [Internet] [Thesis]. University of Illinois – Chicago; 2014. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/10027/18994.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wesolek PR. The Global Structure of Totally Disconnected Locally Compact Polish Groups. [Thesis]. University of Illinois – Chicago; 2014. Available from: http://hdl.handle.net/10027/18994

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Université Paris-Sud – Paris XI

21. Abdellatif, Ramla. Autour des représentations modulo p des groupes réductifs p-adiques de rang 1 : Mod p representations of p-adic reductive groups of rank 1.

Degree: Docteur es, Mathématiques, 2011, Université Paris-Sud – Paris XI

URL: http://www.theses.fr/2011PA112276

► Soit p un nombre premier. Cette thèse est une contribution à la théorie des représentations modulo p des groupes réductifs p-adiques, jusque là essentiellement centrée… (more)

▼ Soit p un nombre premier. Cette thèse est une contribution à la théorie des représentations modulo p des groupes réductifs p-adiques, jusque là essentiellement centrée sur le groupe linéaire général GL(n) défini sur un corps local non archimédien F complet pour une valuation discrète, de caractéristique résiduelle p et de corps résiduel fini. L’originalité de nos travaux réside notamment dans le fait qu’ils concernent d’autres groupes : nous nous intéressons en effet à la description des classes d’isomorphisme des représentations modulo p de groupes formés des F-points d’un groupe réductif connexe défini, quasi-déployé de rang semi-simple égal à 1 sur F. Une place particulière est accordée au groupe spécial linéaire SL(2) et au groupe unitaire quasi-déployé non ramifié en trois variables U(2,1). Dans ces deux cas, nous montrons que les classes d’isomorphisme des représentations lisses irréductibles admissibles à coefficients dans un corps algébriquement clos de caractéristique p se scindent en deux familles : les représentations non supersingulières et les représentations supersingulières. Nous décrivons complètement les représentations non supersingulières, et montrons que la notion de supersingularité est équivalence à la notion de supercuspidalité apparaissant dans la théorie complexe. Nous donnons aussi une description explicite des représentations supersingulières de SL(2,Q_p), ce qui nous permet de définir dans ce cas une correspondance de Langlands locale semi-simple modulo p compatible à celle construite par Breuil pour GL(2). Nous généralisons ensuite les méthodes utilisées jusqu’alors pour obtenir la description des représentations non supercuspidales de G(F) lorsque G est un groupe réductif connexe défini, quasi-déployé, et rang semi-simple égal à 1 sur F. Elle fait apparaître trois familles deux à deux disjointes de représentations : les caractères, les représentations de la série principale et celles de la série spéciale. Nous terminons par une classification des modules à droite simples sur la pro-p-algèbre de Hecke-Iwahori H de SL(2,F). On déduit en particulier que l’application qui envoie une représentation lisse modulo p de SL(2,F) sur son espace de vecteurs invariants sous l’action du pro-p-sous-groupe d'Iwahori induit une bijection entre l’ensemble des classes d’isomorphisme des représentations lisses irréductibles non supersingulières de SL(2,F) et l’ensemble des classes d’isomorphisme des H-modules à droite simples non supersinguliers. Cette bijection s’étend aux objets supersinguliers lorsque l’on suppose que F = Q_p, ce qui est de bon augure dans la recherche d’une équivalence de catégories analogue à celle obtenue par Ollivier dans le cadre de la théorie existant pour GL(2, Q_p). p>Let p be a prime number. This thesis is a contribution to the theory of mod p representations of p-adic reductive groups, which was until now mainly focused on the general linear group GL(n) defined over a non-archimedean local field F complete with respect to a discrete valuation and with finite residue…p> Advisors/Committee Members: Henniart, Guy (thesis director).

Subjects/Keywords: Groupes réductifs p-adiques de rang 1; Correspondance de Langlands modulo p; Arbres de Bruhat-Tits; Algèbres de Hecke-Iwahori; P-adic reductive groups of rank 1; Mod p Langlands correspondence; Bruhat-Tits trees; Hecke-Iwahori algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Abdellatif, R. (2011). Autour des représentations modulo p des groupes réductifs p-adiques de rang 1 : Mod p representations of p-adic reductive groups of rank 1. (Doctoral Dissertation). Université Paris-Sud – Paris XI. Retrieved from http://www.theses.fr/2011PA112276

Chicago Manual of Style (16^th Edition):

Abdellatif, Ramla. “Autour des représentations modulo p des groupes réductifs p-adiques de rang 1 : Mod p representations of p-adic reductive groups of rank 1.” 2011. Doctoral Dissertation, Université Paris-Sud – Paris XI. Accessed January 18, 2021. http://www.theses.fr/2011PA112276.

MLA Handbook (7^th Edition):

Abdellatif, Ramla. “Autour des représentations modulo p des groupes réductifs p-adiques de rang 1 : Mod p representations of p-adic reductive groups of rank 1.” 2011. Web. 18 Jan 2021.

Vancouver:

Abdellatif R. Autour des représentations modulo p des groupes réductifs p-adiques de rang 1 : Mod p representations of p-adic reductive groups of rank 1. [Internet] [Doctoral dissertation]. Université Paris-Sud – Paris XI; 2011. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2011PA112276.

Council of Science Editors:

Abdellatif R. Autour des représentations modulo p des groupes réductifs p-adiques de rang 1 : Mod p representations of p-adic reductive groups of rank 1. [Doctoral Dissertation]. Université Paris-Sud – Paris XI; 2011. Available from: http://www.theses.fr/2011PA112276

22. Lanard, Thomas. Sur les l-blocs de niveau zéro des groupes p-adiques : On the depth zero l-blocks of p-adic groups.

Degree: Docteur es, Mathématiques, 2019, Sorbonne université

URL: http://www.theses.fr/2019SORUS084

► Soit G un groupe p-adique se déployant sur une extension non-ramiﬁée. Nous décomposons Rep0 Λ(G), la catégorie abélienne des représentations lisses de G de niveau… (more)

▼ Soit G un groupe p-adique se déployant sur une extension non-ramiﬁée. Nous décomposons Rep0 Λ(G), la catégorie abélienne des représentations lisses de G de niveau 0 àc oeﬃcients dans Λ = Q` ou Z`, en un produit de sous-catégories. Ces dernières sont construites à partir de systèmes d’idempotents sur l’immeuble de Bruhat-Tits et de la théorie de Deligne-Lusztig. Une première décomposition est obtenue à partir des paramètres inertiels à valeurs dans le dual de Langlands. Nous étudions ensuite la plus ﬁne décomposition de Rep0 Λ(G) que l’on puisse obtenir par cette méthode. Nous en donnons deux descriptions, une première du côté du groupe à la Deligne-Lusztig, puis une deuxième du côté dual à la Langlands. Nous prouvons plusieurs propriétés fondamentales comme la compatibilité à l’induction et la restriction parabolique ou à la correspondance de Langlands locale. Les facteurs de cette décomposition ne sont pas des blocs, mais on montre comment les regrouper pour obtenir les blocs "stables". Certains de ces résultats corroborent une conjecture énoncée par Dat dans [Dat17]. Nous montrons également que toutes ces catégories sont équivalentes à des catégories obtenues à partir de systèmes de coeﬃcients sur l’immeuble. Enﬁn, nous obtenons la décomposition en `-blocs dans certains cas particuliers. p>Let G be a p-adic group that splits over an unramiﬁed extension. We decompose Rep0 Λ(G), the abelian category of smooth level 0 representations of G with coeﬃcients in Λ = Q` or Z`, into a product of subcategories. These categories are constructed via systems of idempotents on the Bruhat-Tits building and Deligne-Lusztig theory. A ﬁrst decomposition is indexed by inertial Langlands parameters. We study the ﬁnest decomposition of Rep0 Λ(G) that can be obtained by this method. We give two descriptions of it, a ﬁrst one on the group side à la Deligne-Lusztig, and a second one on the dual side à la Langlands. We prove several fundamental properties, like for example the compatibility to parabolic induction and restriction or the compatibility to the local Langlands correspondence. The factors of this decomposition are not blocks, but we show how to group them to obtain "stable" blocks. Some of these results support a conjecture given by Dat in [Dat17]. We also show that these categories are equivalent to categories obtained by systems of coeﬃcient on the Bruhat-Tits building. Finally, we get `-blocks decompositions in some particular cases.p> Advisors/Committee Members: Dat, Jean-François (thesis director).

Subjects/Keywords: Représentations; Correspondance de Langlands locale; Groupes p-Adiques; L-Blocs; Immeuble de Bruhat-Tits; Deligne-Lusztig; Representations; Local Langlands correspondence; P-adic groups; I-blocks; Bruhat-Tits building; Deligne-Lusztig; 512.55

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Lanard, T. (2019). Sur les l-blocs de niveau zéro des groupes p-adiques : On the depth zero l-blocks of p-adic groups. (Doctoral Dissertation). Sorbonne université. Retrieved from http://www.theses.fr/2019SORUS084

Chicago Manual of Style (16^th Edition):

Lanard, Thomas. “Sur les l-blocs de niveau zéro des groupes p-adiques : On the depth zero l-blocks of p-adic groups.” 2019. Doctoral Dissertation, Sorbonne université. Accessed January 18, 2021. http://www.theses.fr/2019SORUS084.

MLA Handbook (7^th Edition):

Lanard, Thomas. “Sur les l-blocs de niveau zéro des groupes p-adiques : On the depth zero l-blocks of p-adic groups.” 2019. Web. 18 Jan 2021.

Vancouver:

Lanard T. Sur les l-blocs de niveau zéro des groupes p-adiques : On the depth zero l-blocks of p-adic groups. [Internet] [Doctoral dissertation]. Sorbonne université; 2019. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2019SORUS084.

Council of Science Editors:

Lanard T. Sur les l-blocs de niveau zéro des groupes p-adiques : On the depth zero l-blocks of p-adic groups. [Doctoral Dissertation]. Sorbonne université; 2019. Available from: http://www.theses.fr/2019SORUS084

23. Trias, Justin. Correspondance thêta locale ℓ-modulaire : ℓ-modular local theta correspondence.

Degree: Docteur es, Mathématiques, 2019, Sorbonne université

URL: http://www.theses.fr/2019SORUS380

► Soit F un corps local non archimédien de caractéristique différente de 2 et de caractéristique résiduelle p. La correspondance thêta locale sur F établit une… (more)

▼ Soit F un corps local non archimédien de caractéristique différente de 2 et de caractéristique résiduelle p. La correspondance thêta locale sur F établit une bijection entre des sous-ensembles de représentations lisses irréductibles complexes d’un premier groupe réductif H et d’un second groupe réductif H0, où (H,H0) forme une paire duale dans un groupe symplectique. Soit R un corps de caractéristique ℓ positive différente de p. Dans ce travail, on donne des conditions minimales sur R pour généraliser le théorème de Stone-von Neumann au cas des représentations modulaires i.e. à coefficients dans R. Cela permet ensuite de construire la représentation de Weil modulaire qui vérifie des propriétés analogues au cas complexe [MVW87]. Quand R est algébriquement clos, on généralise la preuve de la correspondance classique pour les paires duales non quaternioniques [GT16] sous deux hypothèses. La première est que ℓ soit suffisamment grand vis-à-vis d’une borne explicite dépendant des pro-ordres H1 et H2. La seconde est une hypothèse qui résulterait d’une meilleure connaissance de la théorie des opérateurs d’entrelacement dans le cas modulaire. p>Let F be a local non archimedean field of characteristic not 2 and residual characteristic p. The local theta correspondence over F gives a bijection between some subsets of irreductible smooth complex reprensentations of a first reductive group H and a second reductive group H0, where (H,H0) is a dual pair in a symplectic group. Let R be a field of characteristic ℓ different from p. In this thesis, we give minimal conditions on R so thatStone-von Neumann’s theorem can be generalised in the setting of modular representation theory, which means when the coefficient field is R. This generalisation enables to define a modular Weil representation which verifies analogous properties to that of the complex case [MVW87]. When R is algebraically closed, we generalise the proof of the classical correspondence for non quaternionic dual pairs [GT16] under two assumptions. Firstly,the characteristic ℓ has to be greater than a certain explicit bound which depends on the pro-orders of H1 and H2. The second hypothesis have a deep connection to the theory of intertwining and would result from a better understanding of that theory in the modular setting.p> Advisors/Committee Members: Minguez Espallargas, Alberto (thesis director).

Subjects/Keywords: Représentations; Correspondance thêta; Correspondance de Langlands locale; Groupes p-Adiques; Théorie des représentations modulaires; Paires duales; Representations; Theta correspondence; Local Langlands correspondence; P-adic groups; Modular representation theory; Dual pairs; 512.55

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Trias, J. (2019). Correspondance thêta locale ℓ-modulaire : ℓ-modular local theta correspondence. (Doctoral Dissertation). Sorbonne université. Retrieved from http://www.theses.fr/2019SORUS380

Chicago Manual of Style (16^th Edition):

Trias, Justin. “Correspondance thêta locale ℓ-modulaire : ℓ-modular local theta correspondence.” 2019. Doctoral Dissertation, Sorbonne université. Accessed January 18, 2021. http://www.theses.fr/2019SORUS380.

MLA Handbook (7^th Edition):

Trias, Justin. “Correspondance thêta locale ℓ-modulaire : ℓ-modular local theta correspondence.” 2019. Web. 18 Jan 2021.

Vancouver:

Trias J. Correspondance thêta locale ℓ-modulaire : ℓ-modular local theta correspondence. [Internet] [Doctoral dissertation]. Sorbonne université; 2019. [cited 2021 Jan 18]. Available from: http://www.theses.fr/2019SORUS380.

Council of Science Editors:

Trias J. Correspondance thêta locale ℓ-modulaire : ℓ-modular local theta correspondence. [Doctoral Dissertation]. Sorbonne université; 2019. Available from: http://www.theses.fr/2019SORUS380

University of Michigan

24. Choi, Seung-Il. Degenerate principal series for exceptional p -adic groups.

Degree: PhD, Pure Sciences, 2002, University of Michigan

URL: http://hdl.handle.net/2027.42/131599

► This is a report on normalized inductions from characters of maximal parabolic subgroups of exceptional p-adic groups. Matrix realization can be used to get the… (more)

Subjects/Keywords: Degenerate Principal Series; Exceptional; Hecke Algebra Isomorphisms; Jacquet Module; P-adic Groups; Parabolic Induction

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Choi, S. (2002). Degenerate principal series for exceptional p -adic groups. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/131599

Chicago Manual of Style (16^th Edition):

Choi, Seung-Il. “Degenerate principal series for exceptional p -adic groups.” 2002. Doctoral Dissertation, University of Michigan. Accessed January 18, 2021. http://hdl.handle.net/2027.42/131599.

MLA Handbook (7^th Edition):

Choi, Seung-Il. “Degenerate principal series for exceptional p -adic groups.” 2002. Web. 18 Jan 2021.

Vancouver:

Choi S. Degenerate principal series for exceptional p -adic groups. [Internet] [Doctoral dissertation]. University of Michigan; 2002. [cited 2021 Jan 18]. Available from: http://hdl.handle.net/2027.42/131599.

Council of Science Editors:

Choi S. Degenerate principal series for exceptional p -adic groups. [Doctoral Dissertation]. University of Michigan; 2002. Available from: http://hdl.handle.net/2027.42/131599

25. WAN, XIN. the Iwasawa Theory for Unitary groups .

Degree: PhD, 2012, Princeton University

URL: http://arks.princeton.edu/ark:/88435/dsp01c534fn974

► In this thesis we generalize earlier work of Skinner and Urban to construct (p-adic families of) nearly ordinary Klingen Eisensten series for the unitary groups… (more)

Subjects/Keywords: Bloch-Kato conjectures; Eisenstein series; Iwasawa theory; p-adic L-functions; Selmer groups

…for their Selmer groups. In chapter 7 we recall some results about p-adic automorphic forms… …groups Self,K,χ , XΣ f,K,χ . (see chapter 6 for ˜Σ details). Also the p-adic L… …87 7.2 Igusa Tower and p-adic Automorphic Forms… …94 8.1.3 p-adic Picture… …96 8.2.3 p-adic Sections…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

WAN, X. (2012). the Iwasawa Theory for Unitary groups . (Doctoral Dissertation). Princeton University. Retrieved from http://arks.princeton.edu/ark:/88435/dsp01c534fn974

Chicago Manual of Style (16^th Edition):

WAN, XIN. “the Iwasawa Theory for Unitary groups .” 2012. Doctoral Dissertation, Princeton University. Accessed January 18, 2021. http://arks.princeton.edu/ark:/88435/dsp01c534fn974.

MLA Handbook (7^th Edition):

WAN, XIN. “the Iwasawa Theory for Unitary groups .” 2012. Web. 18 Jan 2021.

Vancouver:

WAN X. the Iwasawa Theory for Unitary groups . [Internet] [Doctoral dissertation]. Princeton University; 2012. [cited 2021 Jan 18]. Available from: http://arks.princeton.edu/ark:/88435/dsp01c534fn974.

Council of Science Editors:

WAN X. the Iwasawa Theory for Unitary groups . [Doctoral Dissertation]. Princeton University; 2012. Available from: http://arks.princeton.edu/ark:/88435/dsp01c534fn974

The Ohio State University

26. Chan, Ping Shun. Invariant representations of GSp(2).

Degree: PhD, Mathematics, 2005, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1132765381

► Let F be a number field or a p-adic field. We introduce in Chapter 2 of this work two reductive rank one F-groups, H1, H2,… (more)

Subjects/Keywords: Mathematics; Automorphic representations; Langlands Functoriality; Lifting; Harmonic analysis on p-adic groups; Symplectic group of similitudes; GSp(2); { m GSp}(2); GSp(4); { m GSp}(4)

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Chan, P. S. (2005). Invariant representations of GSp(2). (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1132765381

Chicago Manual of Style (16^th Edition):

Chan, Ping Shun. “Invariant representations of GSp(2).” 2005. Doctoral Dissertation, The Ohio State University. Accessed January 18, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=osu1132765381.

MLA Handbook (7^th Edition):

Chan, Ping Shun. “Invariant representations of GSp(2).” 2005. Web. 18 Jan 2021.

Vancouver:

Chan PS. Invariant representations of GSp(2). [Internet] [Doctoral dissertation]. The Ohio State University; 2005. [cited 2021 Jan 18]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1132765381.

Council of Science Editors:

Chan PS. Invariant representations of GSp(2). [Doctoral Dissertation]. The Ohio State University; 2005. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1132765381

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Open Access Theses and Dissertations