subject:(Galois Representation)

UCLA

1. Lang, Jaclyn Ann. Images of Galois representations associated to p-adic families of modular forms.

Degree: Mathematics, 2016, UCLA

URL: http://www.escholarship.org/uc/item/4nj4h2bt

Ribet and Momose described the effect of extra twists on the image of Galois representations associated to classical modular forms in the 1980s. We prove analogous results for the Galois representations associated to Hida families of modular forms.

Subjects/Keywords: Mathematics; deformation theory; Galois representation; Hida family

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

APA (6^th Edition):

Lang, J. A. (2016). Images of Galois representations associated to p-adic families of modular forms. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/4nj4h2bt

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):

Lang, Jaclyn Ann. “Images of Galois representations associated to p-adic families of modular forms.” 2016. Thesis, UCLA. Accessed February 25, 2021. http://www.escholarship.org/uc/item/4nj4h2bt.

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

MLA Handbook (7^th Edition):

Lang, Jaclyn Ann. “Images of Galois representations associated to p-adic families of modular forms.” 2016. Web. 25 Feb 2021.

Vancouver:

Lang JA. Images of Galois representations associated to p-adic families of modular forms. [Internet] [Thesis]. UCLA; 2016. [cited 2021 Feb 25]. Available from: http://www.escholarship.org/uc/item/4nj4h2bt.

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

Council of Science Editors:

Lang JA. Images of Galois representations associated to p-adic families of modular forms. [Thesis]. UCLA; 2016. Available from: http://www.escholarship.org/uc/item/4nj4h2bt

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

2. Muller, Alain. Relèvements cristallins de représentations galoisiennes : Crystalline raising in Galois representations.

Degree: Docteur es, Mathématiques, 2013, Université de Strasbourg

URL: http://www.theses.fr/2013STRAD049

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L’objet de cette thèse est de démontrer que pour certaines représentations p : GK −! GLn(Fp) continues de GK, il existe un relèvement r :… (more)

Subjects/Keywords: Représentation cristalline; Cohomologie galoisienne; Crystalline representation; Galois cohomology; 512.2; 512.7

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APA (6^th Edition):

Muller, A. (2013). Relèvements cristallins de représentations galoisiennes : Crystalline raising in Galois representations. (Doctoral Dissertation). Université de Strasbourg. Retrieved from http://www.theses.fr/2013STRAD049

Chicago Manual of Style (16^th Edition):

Muller, Alain. “Relèvements cristallins de représentations galoisiennes : Crystalline raising in Galois representations.” 2013. Doctoral Dissertation, Université de Strasbourg. Accessed February 25, 2021. http://www.theses.fr/2013STRAD049.

MLA Handbook (7^th Edition):

Muller, Alain. “Relèvements cristallins de représentations galoisiennes : Crystalline raising in Galois representations.” 2013. Web. 25 Feb 2021.

Vancouver:

Muller A. Relèvements cristallins de représentations galoisiennes : Crystalline raising in Galois representations. [Internet] [Doctoral dissertation]. Université de Strasbourg; 2013. [cited 2021 Feb 25]. Available from: http://www.theses.fr/2013STRAD049.

Council of Science Editors:

Muller A. Relèvements cristallins de représentations galoisiennes : Crystalline raising in Galois representations. [Doctoral Dissertation]. Université de Strasbourg; 2013. Available from: http://www.theses.fr/2013STRAD049

Cornell University

3. Chen, Taoran. An Inverse Galois Deformation Problem.

Degree: PhD, Mathematics, 2018, Cornell University

URL: http://hdl.handle.net/1813/59641

► Suppose ρ̅: \Gal({F̅/F}) → \GL₂(\mathbf{k}) is a residual Galois representation satisfying several mild conditions, where F is a number field and \mathbf{k} is a finite… (more)

Subjects/Keywords: Galois representation; number theory; universal deformation ring; Mathematics; deformation theory

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APA (6^th Edition):

Chen, T. (2018). An Inverse Galois Deformation Problem. (Doctoral Dissertation). Cornell University. Retrieved from http://hdl.handle.net/1813/59641

Chicago Manual of Style (16^th Edition):

Chen, Taoran. “An Inverse Galois Deformation Problem.” 2018. Doctoral Dissertation, Cornell University. Accessed February 25, 2021. http://hdl.handle.net/1813/59641.

MLA Handbook (7^th Edition):

Chen, Taoran. “An Inverse Galois Deformation Problem.” 2018. Web. 25 Feb 2021.

Vancouver:

Chen T. An Inverse Galois Deformation Problem. [Internet] [Doctoral dissertation]. Cornell University; 2018. [cited 2021 Feb 25]. Available from: http://hdl.handle.net/1813/59641.

Council of Science Editors:

Chen T. An Inverse Galois Deformation Problem. [Doctoral Dissertation]. Cornell University; 2018. Available from: http://hdl.handle.net/1813/59641

Harvard University

4. Wang Erickson, Carl William. Moduli of Galois Representations.

Degree: PhD, Mathematics, 2013, Harvard University

URL: http://nrs.harvard.edu/urn-3:HUL.InstRepos:11108709

►

The theme of this thesis is the study of moduli stacks of representations of an associative algebra, with an eye toward continuous representations of profinite… (more)

Subjects/Keywords: Mathematics; Galois representation; moduli; p-adic Hodge theory; pseudorepresentation

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APA (6^th Edition):

Wang Erickson, C. W. (2013). Moduli of Galois Representations. (Doctoral Dissertation). Harvard University. Retrieved from http://nrs.harvard.edu/urn-3:HUL.InstRepos:11108709

Chicago Manual of Style (16^th Edition):

Wang Erickson, Carl William. “Moduli of Galois Representations.” 2013. Doctoral Dissertation, Harvard University. Accessed February 25, 2021. http://nrs.harvard.edu/urn-3:HUL.InstRepos:11108709.

MLA Handbook (7^th Edition):

Wang Erickson, Carl William. “Moduli of Galois Representations.” 2013. Web. 25 Feb 2021.

Vancouver:

Wang Erickson CW. Moduli of Galois Representations. [Internet] [Doctoral dissertation]. Harvard University; 2013. [cited 2021 Feb 25]. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:11108709.

Council of Science Editors:

Wang Erickson CW. Moduli of Galois Representations. [Doctoral Dissertation]. Harvard University; 2013. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:11108709

Harvard University

5. Lovering, Thomas. Integral canonical models for G-bundles on Shimura varieties of abelian type.

Degree: PhD, 2017, Harvard University

URL: http://nrs.harvard.edu/urn-3:HUL.InstRepos:41142070

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This thesis builds on Kisin's theories of S-modules and integral models for Shimura varieties of abelian type to further our understanding of the arithmetic of… (more)

Subjects/Keywords: Shimura varieties; galois representation; number theory; arithmetic geometry

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APA (6^th Edition):

Lovering, T. (2017). Integral canonical models for G-bundles on Shimura varieties of abelian type. (Doctoral Dissertation). Harvard University. Retrieved from http://nrs.harvard.edu/urn-3:HUL.InstRepos:41142070

Chicago Manual of Style (16^th Edition):

Lovering, Thomas. “Integral canonical models for G-bundles on Shimura varieties of abelian type.” 2017. Doctoral Dissertation, Harvard University. Accessed February 25, 2021. http://nrs.harvard.edu/urn-3:HUL.InstRepos:41142070.

MLA Handbook (7^th Edition):

Lovering, Thomas. “Integral canonical models for G-bundles on Shimura varieties of abelian type.” 2017. Web. 25 Feb 2021.

Vancouver:

Lovering T. Integral canonical models for G-bundles on Shimura varieties of abelian type. [Internet] [Doctoral dissertation]. Harvard University; 2017. [cited 2021 Feb 25]. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:41142070.

Council of Science Editors:

Lovering T. Integral canonical models for G-bundles on Shimura varieties of abelian type. [Doctoral Dissertation]. Harvard University; 2017. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:41142070

Princeton University

6. Pan, Lue. The Fontaine-Mazur conjecture in the residually reducible case .

Degree: PhD, 2018, Princeton University

URL: http://arks.princeton.edu/ark:/88435/dsp01j098zd81j

► In this thesis, we prove new cases of Fontaine-Mazur conjecture on two-dimensional Galois representations over Q when the residual representation is reducible. Our approach is… (more)

Subjects/Keywords: completed cohomology; Fontaine-Mazur conjecture; Galois representation; p-adic local Langlands

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APA (6^th Edition):

Pan, L. (2018). The Fontaine-Mazur conjecture in the residually reducible case . (Doctoral Dissertation). Princeton University. Retrieved from http://arks.princeton.edu/ark:/88435/dsp01j098zd81j

Chicago Manual of Style (16^th Edition):

Pan, Lue. “The Fontaine-Mazur conjecture in the residually reducible case .” 2018. Doctoral Dissertation, Princeton University. Accessed February 25, 2021. http://arks.princeton.edu/ark:/88435/dsp01j098zd81j.

MLA Handbook (7^th Edition):

Pan, Lue. “The Fontaine-Mazur conjecture in the residually reducible case .” 2018. Web. 25 Feb 2021.

Vancouver:

Pan L. The Fontaine-Mazur conjecture in the residually reducible case . [Internet] [Doctoral dissertation]. Princeton University; 2018. [cited 2021 Feb 25]. Available from: http://arks.princeton.edu/ark:/88435/dsp01j098zd81j.

Council of Science Editors:

Pan L. The Fontaine-Mazur conjecture in the residually reducible case . [Doctoral Dissertation]. Princeton University; 2018. Available from: http://arks.princeton.edu/ark:/88435/dsp01j098zd81j

UCLA

7. Zhao, Bin. Local Indecomposability of Hilbert Modular representations and Mumford-Tate conjecture.

Degree: Mathematics, 2014, UCLA

URL: http://www.escholarship.org/uc/item/7wc9c8t8

► In this thesis, we use the Serre-Tate deformation theory for ordinary abelian varieties to study its associated p-adic Galois representations. As applications, we study two… (more)

Subjects/Keywords: Mathematics; abelian variety; Galois representation; modular forms; Mumford-Tate conjecture; Serre-Tate theorem

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APA (6^th Edition):

Zhao, B. (2014). Local Indecomposability of Hilbert Modular representations and Mumford-Tate conjecture. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/7wc9c8t8

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):

Zhao, Bin. “Local Indecomposability of Hilbert Modular representations and Mumford-Tate conjecture.” 2014. Thesis, UCLA. Accessed February 25, 2021. http://www.escholarship.org/uc/item/7wc9c8t8.

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

MLA Handbook (7^th Edition):

Zhao, Bin. “Local Indecomposability of Hilbert Modular representations and Mumford-Tate conjecture.” 2014. Web. 25 Feb 2021.

Vancouver:

Zhao B. Local Indecomposability of Hilbert Modular representations and Mumford-Tate conjecture. [Internet] [Thesis]. UCLA; 2014. [cited 2021 Feb 25]. Available from: http://www.escholarship.org/uc/item/7wc9c8t8.

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

Council of Science Editors:

Zhao B. Local Indecomposability of Hilbert Modular representations and Mumford-Tate conjecture. [Thesis]. UCLA; 2014. Available from: http://www.escholarship.org/uc/item/7wc9c8t8

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

University of Melbourne

8. McAndrew, Angus William. Galois representations and theta operators for Siegel modular forms.

Degree: 2015, University of Melbourne

URL: http://hdl.handle.net/11343/57014

► Modular forms are powerful number theoretic objects, having attracted much study and attention for the last 200 years. In the modern area, one of their… (more)

Subjects/Keywords: number theory; representation theory; algebraic geometry; Galois representations; modular forms; Siegel modular forms; Serre's conjecture

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APA (6^th Edition):

McAndrew, A. W. (2015). Galois representations and theta operators for Siegel modular forms. (Masters Thesis). University of Melbourne. Retrieved from http://hdl.handle.net/11343/57014

Chicago Manual of Style (16^th Edition):

McAndrew, Angus William. “Galois representations and theta operators for Siegel modular forms.” 2015. Masters Thesis, University of Melbourne. Accessed February 25, 2021. http://hdl.handle.net/11343/57014.

MLA Handbook (7^th Edition):

McAndrew, Angus William. “Galois representations and theta operators for Siegel modular forms.” 2015. Web. 25 Feb 2021.

Vancouver:

McAndrew AW. Galois representations and theta operators for Siegel modular forms. [Internet] [Masters thesis]. University of Melbourne; 2015. [cited 2021 Feb 25]. Available from: http://hdl.handle.net/11343/57014.

Council of Science Editors:

McAndrew AW. Galois representations and theta operators for Siegel modular forms. [Masters Thesis]. University of Melbourne; 2015. Available from: http://hdl.handle.net/11343/57014

9. Hoang Duc, Auguste. Relèvements de représentations galoisiennes à valeurs dans des groupes algébriques : Lifting Galois representations with values in an algebraic group.

Degree: Docteur es, Mathématiques, 2015, Université de Strasbourg

URL: http://www.theses.fr/2015STRAD039

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Soient 1 -> N -> H -> H' -> 1 une suite exacte centrale de groupes algébriques sur Q_p^alg et F un corps de nombres.… (more)

Subjects/Keywords: Représentation galoisienne; Relèvement; Théorie de Hodge p-adique; Cohomologie; Galois representation; Lift; P-adic Hodge theory; Cohomology; 514.2

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

APA (6^th Edition):

Hoang Duc, A. (2015). Relèvements de représentations galoisiennes à valeurs dans des groupes algébriques : Lifting Galois representations with values in an algebraic group. (Doctoral Dissertation). Université de Strasbourg. Retrieved from http://www.theses.fr/2015STRAD039

Chicago Manual of Style (16^th Edition):

Hoang Duc, Auguste. “Relèvements de représentations galoisiennes à valeurs dans des groupes algébriques : Lifting Galois representations with values in an algebraic group.” 2015. Doctoral Dissertation, Université de Strasbourg. Accessed February 25, 2021. http://www.theses.fr/2015STRAD039.

MLA Handbook (7^th Edition):

Hoang Duc, Auguste. “Relèvements de représentations galoisiennes à valeurs dans des groupes algébriques : Lifting Galois representations with values in an algebraic group.” 2015. Web. 25 Feb 2021.

Vancouver:

Hoang Duc A. Relèvements de représentations galoisiennes à valeurs dans des groupes algébriques : Lifting Galois representations with values in an algebraic group. [Internet] [Doctoral dissertation]. Université de Strasbourg; 2015. [cited 2021 Feb 25]. Available from: http://www.theses.fr/2015STRAD039.

Council of Science Editors:

Hoang Duc A. Relèvements de représentations galoisiennes à valeurs dans des groupes algébriques : Lifting Galois representations with values in an algebraic group. [Doctoral Dissertation]. Université de Strasbourg; 2015. Available from: http://www.theses.fr/2015STRAD039

10. Chen, Huan. Fonctorialité, idéaux de congruence et grandes images de représentations galoisiennes associées aux familles de Hida : Functoriality, congruence ideals and big image of Galois representations associated to Hida families.

Degree: Docteur es, Mathematiques, 2017, Sorbonne Paris Cité

URL: http://www.theses.fr/2017USPCD040

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Hida a étudié l'image de la représentation galoisienne associée à une famille p-adique de Hida de formes automorphes. Il a montré que l'image d'une famille… (more)

Subjects/Keywords: Theorie de Hida; Fonctorialité de Langlands; Idéaux de congruence; Représentations galoisiennes; Theory of Hida; Fonctoriality of Langlands; Congruence ideal; Galois representation

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

APA (6^th Edition):

Chen, H. (2017). Fonctorialité, idéaux de congruence et grandes images de représentations galoisiennes associées aux familles de Hida : Functoriality, congruence ideals and big image of Galois representations associated to Hida families. (Doctoral Dissertation). Sorbonne Paris Cité. Retrieved from http://www.theses.fr/2017USPCD040

Chicago Manual of Style (16^th Edition):

Chen, Huan. “Fonctorialité, idéaux de congruence et grandes images de représentations galoisiennes associées aux familles de Hida : Functoriality, congruence ideals and big image of Galois representations associated to Hida families.” 2017. Doctoral Dissertation, Sorbonne Paris Cité. Accessed February 25, 2021. http://www.theses.fr/2017USPCD040.

MLA Handbook (7^th Edition):

Chen, Huan. “Fonctorialité, idéaux de congruence et grandes images de représentations galoisiennes associées aux familles de Hida : Functoriality, congruence ideals and big image of Galois representations associated to Hida families.” 2017. Web. 25 Feb 2021.

Vancouver:

Chen H. Fonctorialité, idéaux de congruence et grandes images de représentations galoisiennes associées aux familles de Hida : Functoriality, congruence ideals and big image of Galois representations associated to Hida families. [Internet] [Doctoral dissertation]. Sorbonne Paris Cité; 2017. [cited 2021 Feb 25]. Available from: http://www.theses.fr/2017USPCD040.

Council of Science Editors:

Chen H. Fonctorialité, idéaux de congruence et grandes images de représentations galoisiennes associées aux familles de Hida : Functoriality, congruence ideals and big image of Galois representations associated to Hida families. [Doctoral Dissertation]. Sorbonne Paris Cité; 2017. Available from: http://www.theses.fr/2017USPCD040

Brigham Young University

11. Simpson, Glen E. PSL(2,7)-Extensions with Certain Ramification at Two Primes.

Degree: MS, 2004, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1161&context=etd

► We conduct a parallel Hunter search in order to find a degree 7 number field K ramified at primes q and p with discriminant d(K)=q⁶… (more)

Subjects/Keywords: Galois Representation; number field; Hunter search; Mathematics

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APA (6^th Edition):

Simpson, G. E. (2004). PSL(2,7)-Extensions with Certain Ramification at Two Primes. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1161&context=etd

Chicago Manual of Style (16^th Edition):

Simpson, Glen E. “PSL(2,7)-Extensions with Certain Ramification at Two Primes.” 2004. Masters Thesis, Brigham Young University. Accessed February 25, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1161&context=etd.

MLA Handbook (7^th Edition):

Simpson, Glen E. “PSL(2,7)-Extensions with Certain Ramification at Two Primes.” 2004. Web. 25 Feb 2021.

Vancouver:

Simpson GE. PSL(2,7)-Extensions with Certain Ramification at Two Primes. [Internet] [Masters thesis]. Brigham Young University; 2004. [cited 2021 Feb 25]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1161&context=etd.

Council of Science Editors:

Simpson GE. PSL(2,7)-Extensions with Certain Ramification at Two Primes. [Masters Thesis]. Brigham Young University; 2004. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1161&context=etd

Clemson University

12. Keaton, Rodney. Explicit Level Lowering of 2-Dimensional Modular Galois Representations.

Degree: MS, Mathematical Science, 2010, Clemson University

URL: https://tigerprints.clemson.edu/all_theses/986

► Let f be a normalized eigenform of level Np<super>α</super> for some positive integer α and some odd prime p satisfying gcd(p,N)=1. A construction of Deligne,… (more)

Subjects/Keywords: Galois Representation; Modular Form; Number Theory; Applied Mathematics

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APA (6^th Edition):

Keaton, R. (2010). Explicit Level Lowering of 2-Dimensional Modular Galois Representations. (Masters Thesis). Clemson University. Retrieved from https://tigerprints.clemson.edu/all_theses/986

Chicago Manual of Style (16^th Edition):

Keaton, Rodney. “Explicit Level Lowering of 2-Dimensional Modular Galois Representations.” 2010. Masters Thesis, Clemson University. Accessed February 25, 2021. https://tigerprints.clemson.edu/all_theses/986.

MLA Handbook (7^th Edition):

Keaton, Rodney. “Explicit Level Lowering of 2-Dimensional Modular Galois Representations.” 2010. Web. 25 Feb 2021.

Vancouver:

Keaton R. Explicit Level Lowering of 2-Dimensional Modular Galois Representations. [Internet] [Masters thesis]. Clemson University; 2010. [cited 2021 Feb 25]. Available from: https://tigerprints.clemson.edu/all_theses/986.

Council of Science Editors:

Keaton R. Explicit Level Lowering of 2-Dimensional Modular Galois Representations. [Masters Thesis]. Clemson University; 2010. Available from: https://tigerprints.clemson.edu/all_theses/986

13. Di Matteo, Giovanni. Produits tensoriels en théorie de Hodge p-adique : Tensor products in p-adic Hodge theory.

Degree: Docteur es, Mathématiques, 2013, Lyon, École normale supérieure

URL: http://www.theses.fr/2013ENSL0870

►

Soient K/Qp une extension finie et GK le groupe de Galois absolu de K. Cette thèse est consacrée à l'étude de produits tensoriels cristallins (ou… (more)

Subjects/Keywords: Représentation p-adique d'un groupe de Galois absolu d'un corps p-adique; B-paire; Théorie de Hodge p-adique; Représentation cristalline; Représentation semi-stable; Représentation de de Rham; Représentation de Hodge-Tate; Représentation trianguline; Produit tensoriel; Foncteur de Schur; P-adic Galois representations of the absolute Galois group of a p-adic field; B-pairs; P-adic Hodge theory; Crystalline representation; Semi-stable representation; De Rham representation; Hodge-Tate representation; Trianguline representation; Tensor product; Schur functor; 510

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APA (6^th Edition):

Di Matteo, G. (2013). Produits tensoriels en théorie de Hodge p-adique : Tensor products in p-adic Hodge theory. (Doctoral Dissertation). Lyon, École normale supérieure. Retrieved from http://www.theses.fr/2013ENSL0870

Chicago Manual of Style (16^th Edition):

Di Matteo, Giovanni. “Produits tensoriels en théorie de Hodge p-adique : Tensor products in p-adic Hodge theory.” 2013. Doctoral Dissertation, Lyon, École normale supérieure. Accessed February 25, 2021. http://www.theses.fr/2013ENSL0870.

MLA Handbook (7^th Edition):

Di Matteo, Giovanni. “Produits tensoriels en théorie de Hodge p-adique : Tensor products in p-adic Hodge theory.” 2013. Web. 25 Feb 2021.

Vancouver:

Di Matteo G. Produits tensoriels en théorie de Hodge p-adique : Tensor products in p-adic Hodge theory. [Internet] [Doctoral dissertation]. Lyon, École normale supérieure; 2013. [cited 2021 Feb 25]. Available from: http://www.theses.fr/2013ENSL0870.

Council of Science Editors:

Di Matteo G. Produits tensoriels en théorie de Hodge p-adique : Tensor products in p-adic Hodge theory. [Doctoral Dissertation]. Lyon, École normale supérieure; 2013. Available from: http://www.theses.fr/2013ENSL0870

14. Gim, Geunho. Stabilization of a Tower of Universal Deformation Rings.

Degree: Mathematics, 2018, UCLA

URL: http://www.escholarship.org/uc/item/27n7z4v1

► Given a p -adic absolutely irreducible residual representation of a Galois group with Mazur's finiteness condition Φ_p , we get a universal deformation ring in… (more)

Subjects/Keywords: Mathematics; adjoint representation; Galois representation; universal deformation ring

…Mazur conceived an idea of studying universal deformation of a given Galois representation in… …algebraic closure Fq of Fq , and for a given m-dimensional continuous representation of π1 (X… …same phenomena occur in prime-to-p cyclotomic extensions of a number field with Galois group… …irreducible representation ρ : G → GLm (F) 1 for some m ≥ 1. We will assume continuity… …continuous, absolutely irreducible representation. Then, there exists a universal couple (R, ρ…

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APA (6^th Edition):

Gim, G. (2018). Stabilization of a Tower of Universal Deformation Rings. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/27n7z4v1

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):

Gim, Geunho. “Stabilization of a Tower of Universal Deformation Rings.” 2018. Thesis, UCLA. Accessed February 25, 2021. http://www.escholarship.org/uc/item/27n7z4v1.

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

MLA Handbook (7^th Edition):

Gim, Geunho. “Stabilization of a Tower of Universal Deformation Rings.” 2018. Web. 25 Feb 2021.

Vancouver:

Gim G. Stabilization of a Tower of Universal Deformation Rings. [Internet] [Thesis]. UCLA; 2018. [cited 2021 Feb 25]. Available from: http://www.escholarship.org/uc/item/27n7z4v1.

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

Council of Science Editors:

Gim G. Stabilization of a Tower of Universal Deformation Rings. [Thesis]. UCLA; 2018. Available from: http://www.escholarship.org/uc/item/27n7z4v1

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

Queens University

15. Leyland, Richard. Isomorphisms of Galois Representations of CM Elliptic Curves .

Degree: Mathematics and Statistics, Queens University

URL: http://hdl.handle.net/1974/28180

► In this thesis, we consider the problem of determining all CM elliptic curves over \rat whose mod N Galois representations are isomorphic to the mod… (more)

Subjects/Keywords: galois ; elliptic curves ; mathematics ; representation ; number theory ; representation ; complex multiplication ; cm ; mazur's problem ; galois representation ; division field ; weber field ; ideal isogeny ; isogeny

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

APA (6^th Edition):

Leyland, R. (n.d.). Isomorphisms of Galois Representations of CM Elliptic Curves . (Thesis). Queens University. Retrieved from http://hdl.handle.net/1974/28180

Note: this citation may be lacking information needed for this citation format:
No year of publication.
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Leyland, Richard. “Isomorphisms of Galois Representations of CM Elliptic Curves .” Thesis, Queens University. Accessed February 25, 2021. http://hdl.handle.net/1974/28180.

Note: this citation may be lacking information needed for this citation format:
No year of publication.
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Leyland, Richard. “Isomorphisms of Galois Representations of CM Elliptic Curves .” Web. 25 Feb 2021.

Note: this citation may be lacking information needed for this citation format:
No year of publication.

Vancouver:

Leyland R. Isomorphisms of Galois Representations of CM Elliptic Curves . [Internet] [Thesis]. Queens University; [cited 2021 Feb 25]. Available from: http://hdl.handle.net/1974/28180.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
No year of publication.

Council of Science Editors:

Leyland R. Isomorphisms of Galois Representations of CM Elliptic Curves . [Thesis]. Queens University; Available from: http://hdl.handle.net/1974/28180

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
No year of publication.

University of Michigan

16. Klosin, Krzysztof. Congruences among automorphic forms on the unitary group U(2,2).

Degree: PhD, Pure Sciences, 2006, University of Michigan

URL: http://hdl.handle.net/2027.42/126079

► Let k be a positive integer divisible by 4, ℓ > k an odd prime, and f a normalized elliptic cuspidal eigenform of weight k… (more)

Subjects/Keywords: Automorphic Forms; Bloch-kato Conjecture; Congruences; Galois Representation; Galois Representations; L-functions; Selmer Group; Unitary Group U(2,2)

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

APA (6^th Edition):

Klosin, K. (2006). Congruences among automorphic forms on the unitary group U(2,2). (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/126079

Chicago Manual of Style (16^th Edition):

Klosin, Krzysztof. “Congruences among automorphic forms on the unitary group U(2,2).” 2006. Doctoral Dissertation, University of Michigan. Accessed February 25, 2021. http://hdl.handle.net/2027.42/126079.

MLA Handbook (7^th Edition):

Klosin, Krzysztof. “Congruences among automorphic forms on the unitary group U(2,2).” 2006. Web. 25 Feb 2021.

Vancouver:

Klosin K. Congruences among automorphic forms on the unitary group U(2,2). [Internet] [Doctoral dissertation]. University of Michigan; 2006. [cited 2021 Feb 25]. Available from: http://hdl.handle.net/2027.42/126079.

Council of Science Editors:

Klosin K. Congruences among automorphic forms on the unitary group U(2,2). [Doctoral Dissertation]. University of Michigan; 2006. Available from: http://hdl.handle.net/2027.42/126079

17. Mrozinski, Colin. Semi-anneau de fusion des groupes quantiques : Fusion semiring of quantum groups.

Degree: Docteur es, Mathématiques Pures, 2013, Université Blaise-Pascale, Clermont-Ferrand II

URL: http://www.theses.fr/2013CLF22405

►

Cette thèse se propose d’étudier des problèmes de classification des groupes quantiques via des invariants issus de leur théorie de représentation. Plus précisément, nous classifions… (more)

▼

Cette thèse se propose d’étudier des problèmes de classification des groupes quantiques via des invariants issus de leur théorie de représentation. Plus précisément, nous classifions les algèbres de Hopf possédant un semi-anneau de fusion isomorphe à un groupe algébrique réductif donné G. De tels groupes quantiques sont alors appelés G-déformations. Dans cette thèse, nous étudions les cas GL(2) et SO(3). Nous donnons une classification complète des GL(2)-déformations en construisant une famille d’algèbres de Hopf indexées par des matrices inversibles. Nous décrivons leurs catégories de comodules et donnons certains résultats de classification quant à leurs objets de Hopf-Galois. Ensuite, nous donnons une classification des SO(3)-déformations compactes tout en étudiant le cas non-compact. Finalement, la dernière partie de la thèse est une étude de l’algèbre sous-jacente à une certaine famille d’algèbres de Hopf, dont nous exhibons une base. Cette base nous permet de calculer le centre des ces algèbres ainsi que quelques groupes de (co)homologie.

The purpose of this dissertation is to classify quantum groups according to invariants coming from their representation theory. More precisely, we classify Hopf algebras having a fusion semiring isomorphic to that of a given reductive algebraic group G. Such a quantum group is called a G-deformation. We study the case of GL(2) and SO(3). We give a complete classification of GL(2)-deformations by building a family of Hopf algebras parametrized by invertible matrices. We describe their comodule category and we give some classification results about the Hopf-Galois objects. We also classify compact SO(3)-deformations and we study the noncompact case. Finally, the last part of this dissertation is a study of the underlying algebra of some Hopf algebras, for which we exhibit a linear basis. This basis allows us to compute the centre and some (co)homology groups of those algebras.

Advisors/Committee Members: Bichon, Julien (thesis director).

Subjects/Keywords: Groupes quantiques; Théorie de représentation; Semi-anneau de fusion; Algèbre non-commutative; Catégories monoïdales; Objets de Hopf-Galois; Quantum groups; Representation theory; Fusion semiring; Noncommutative algebra; Monoidal category; Hopf-Galois objects

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

APA (6^th Edition):

Mrozinski, C. (2013). Semi-anneau de fusion des groupes quantiques : Fusion semiring of quantum groups. (Doctoral Dissertation). Université Blaise-Pascale, Clermont-Ferrand II. Retrieved from http://www.theses.fr/2013CLF22405

Chicago Manual of Style (16^th Edition):

Mrozinski, Colin. “Semi-anneau de fusion des groupes quantiques : Fusion semiring of quantum groups.” 2013. Doctoral Dissertation, Université Blaise-Pascale, Clermont-Ferrand II. Accessed February 25, 2021. http://www.theses.fr/2013CLF22405.

MLA Handbook (7^th Edition):

Mrozinski, Colin. “Semi-anneau de fusion des groupes quantiques : Fusion semiring of quantum groups.” 2013. Web. 25 Feb 2021.

Vancouver:

Mrozinski C. Semi-anneau de fusion des groupes quantiques : Fusion semiring of quantum groups. [Internet] [Doctoral dissertation]. Université Blaise-Pascale, Clermont-Ferrand II; 2013. [cited 2021 Feb 25]. Available from: http://www.theses.fr/2013CLF22405.

Council of Science Editors:

Mrozinski C. Semi-anneau de fusion des groupes quantiques : Fusion semiring of quantum groups. [Doctoral Dissertation]. Université Blaise-Pascale, Clermont-Ferrand II; 2013. Available from: http://www.theses.fr/2013CLF22405

18. Iijima, Yu. Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves : 双曲的曲線に付随する外ガロア表現のいくつかの群論的側面について.

Degree: 博士(理学), 2015, Kyoto University / 京都大学

URL: http://hdl.handle.net/2433/199078 ; http://dx.doi.org/10.14989/doctor.k18769

新制・課程博士

甲第18769号

理博第4027号

Subjects/Keywords: semi-graph of anabelioids; Grothendieck-Teichmuller group; hyperbolic curve; pro-l outer Galois representation; universal pro-l outer monodromy

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

APA (6^th Edition):

Iijima, Y. (2015). Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves : 双曲的曲線に付随する外ガロア表現のいくつかの群論的側面について. (Thesis). Kyoto University / 京都大学. Retrieved from http://hdl.handle.net/2433/199078 ; http://dx.doi.org/10.14989/doctor.k18769

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):

Iijima, Yu. “Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves : 双曲的曲線に付随する外ガロア表現のいくつかの群論的側面について.” 2015. Thesis, Kyoto University / 京都大学. Accessed February 25, 2021. http://hdl.handle.net/2433/199078 ; http://dx.doi.org/10.14989/doctor.k18769.

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

MLA Handbook (7^th Edition):

Iijima, Yu. “Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves : 双曲的曲線に付随する外ガロア表現のいくつかの群論的側面について.” 2015. Web. 25 Feb 2021.

Vancouver:

Iijima Y. Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves : 双曲的曲線に付随する外ガロア表現のいくつかの群論的側面について. [Internet] [Thesis]. Kyoto University / 京都大学; 2015. [cited 2021 Feb 25]. Available from: http://hdl.handle.net/2433/199078 ; http://dx.doi.org/10.14989/doctor.k18769.

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

Council of Science Editors:

Iijima Y. Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves : 双曲的曲線に付随する外ガロア表現のいくつかの群論的側面について. [Thesis]. Kyoto University / 京都大学; 2015. Available from: http://hdl.handle.net/2433/199078 ; http://dx.doi.org/10.14989/doctor.k18769

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

19. Iijima, Yu. Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves .

Degree: 2015, Kyoto University

URL: http://hdl.handle.net/2433/199078

Subjects/Keywords: semi-graph of anabelioids; Grothendieck-Teichmuller group; hyperbolic curve; pro-l outer Galois representation; universal pro-l outer monodromy

Record Details Similar Records Cite « Share

❌

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

APA (6^th Edition):

Iijima, Y. (2015). Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves . (Thesis). Kyoto University. Retrieved from http://hdl.handle.net/2433/199078

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):

Iijima, Yu. “Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves .” 2015. Thesis, Kyoto University. Accessed February 25, 2021. http://hdl.handle.net/2433/199078.

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

MLA Handbook (7^th Edition):

Iijima, Yu. “Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves .” 2015. Web. 25 Feb 2021.

Vancouver:

Iijima Y. Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves . [Internet] [Thesis]. Kyoto University; 2015. [cited 2021 Feb 25]. Available from: http://hdl.handle.net/2433/199078.

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

Council of Science Editors:

Iijima Y. Some group-theoretic aspects of outer Galois representations associated to hyperbolic curves . [Thesis]. Kyoto University; 2015. Available from: http://hdl.handle.net/2433/199078

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

Université Paris-Sud – Paris XI

20. Ding, Yiwen. Formes modulaires p-adiques sur les courbes de Shimura unitaires et compatibilité local-global : P-adic modular forms over unitary Shimura curves and local-global compatibility.

Degree: Docteur es, Mathématiques, 2015, Université Paris-Sud – Paris XI

URL: http://www.theses.fr/2015PA112035

►

Cette thèse s'inscrit dans le cadre du programme de Langlands local p-adique. Soient L une extension finie de Q_p, ρ_L une représentation p-adique de dimension… (more)

▼

Cette thèse s'inscrit dans le cadre du programme de Langlands local p-adique. Soient L une extension finie de Q_p, ρ_L une représentation p-adique de dimension 2 du groupe de Galois Gal(Q_p̅/L) de L, lorsque ρ_L provient d'une représentation ρ globale et modulaire (i.e. ρ apparaît dans la cohomologie étale des courbes de Shimura), on sait associer à ρ une représentation de Banach admissible de \GL₂(L), notée Π̂(ρ), en utilisant la théorie de la cohomologie étale complétée d'Emerton. Localement, lorsque ρ_L est cristalline (et assez générique), d'après Breuil, on sait associer à ρ_L une représentation localement analytique de \GL₂(L), notée Π(ρ_L). Dans cette thèse, on montre divers résultats sur la compatibilité entre les représentations Π̂(ρ) et Π(ρ_L), qui s'appelle la compatibilité local-global, dans la cas des courbes de Shimura unitaires. Par la théorie des représentations localement analytiques de \GL₂(L), le problème de compatibilité local-global se ramène à l'étude des variétés de Hecke X construites à partir du H^1-complété des courbes de Shimura unitaires. On montre des résultats sur la compatibilité local-global dans le cas non-critique en utilisant la théorie de la triangulation globale. On étudie ainsi les formes modulaires p-adiques sur les courbes de Shimura unitaires, à partir desquelles on peut construire des sous-espaces rigides de X à la manière de Coleman-Mazur. On montre l'existence des formes compagnons surconvergentes sur les courbes de Shimura unitaires en utilisant les théorèmes de comparaison p-adique, d'où on déduit des résultats sur la compatibilité local-global dans le cas critique.

The subject of this thesis is in the p-adic Langlands programme. Let L be a finite extension of \Q_p, ρ_L a 2-dimensional p-adic representation of the Galois group \Gal(\Q_p̅/L) of L, if ρ_L is the restriction of a global modular Galois representation ρ (i.e. ρ appears in the étale cohomology of Shimura curves), one can associate to ρ an admissible Banach representation Π̂(ρ) of \GL₂(L) by using Emerton's completed cohomology theory. Locally, if ρ_L is crystalline (and sufficiently generic), following Breuil, one can associate to ρ_L a locally analytic representation Π(ρ_L) of \GL₂(L). In this thesis, we prove results on the compatibility of Π̂(ρ) and Π(ρ_L), called local-global compatibility, in the unitary Shimura curves case. By locally analytic representations theory (for \GL₂(L)), the problem of local-global compatibility can be reduced to the study of eigenvarieties X constructed from the completed H¹ of unitary Shimura curves. We prove results on local-global compatibility in non-critical case by using global triangulation theory. We also study the p-adic modular forms over unitary Shimura curves, from which we construct some closed rigid subspaces of X by Coleman-Mazur's method. We prove the existence of overconvergent companion forms (over unitary Shimura…

Advisors/Committee Members: Breuil, Christophe (thesis director).

Subjects/Keywords: Programme de Langlands p-adique; Compatibilité local-global; Cohomologie étale complétée; \GL_2(L); Représentation cristalline; Courbe de Shimura unitaire; Représentation localement analytique; Variété de Hecke; Famille p-adique de représentations galoisiennes; Forme modulaire p-adique; Forme compagnon surconvergente; P-adic Langlands programme; Local-global compatibility; Completed étale cohomology; \GL_2(L); Crystalline representation; Unitary Shimura curve; Locally analytic representation; Eigenvariety; P-adic family of Galois representations; P-adic modular form; Overconvergent companion form

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

APA (6^th Edition):

Ding, Y. (2015). Formes modulaires p-adiques sur les courbes de Shimura unitaires et compatibilité local-global : P-adic modular forms over unitary Shimura curves and local-global compatibility. (Doctoral Dissertation). Université Paris-Sud – Paris XI. Retrieved from http://www.theses.fr/2015PA112035

Chicago Manual of Style (16^th Edition):

Ding, Yiwen. “Formes modulaires p-adiques sur les courbes de Shimura unitaires et compatibilité local-global : P-adic modular forms over unitary Shimura curves and local-global compatibility.” 2015. Doctoral Dissertation, Université Paris-Sud – Paris XI. Accessed February 25, 2021. http://www.theses.fr/2015PA112035.

MLA Handbook (7^th Edition):

Ding, Yiwen. “Formes modulaires p-adiques sur les courbes de Shimura unitaires et compatibilité local-global : P-adic modular forms over unitary Shimura curves and local-global compatibility.” 2015. Web. 25 Feb 2021.

Vancouver:

Ding Y. Formes modulaires p-adiques sur les courbes de Shimura unitaires et compatibilité local-global : P-adic modular forms over unitary Shimura curves and local-global compatibility. [Internet] [Doctoral dissertation]. Université Paris-Sud – Paris XI; 2015. [cited 2021 Feb 25]. Available from: http://www.theses.fr/2015PA112035.

Council of Science Editors:

Ding Y. Formes modulaires p-adiques sur les courbes de Shimura unitaires et compatibilité local-global : P-adic modular forms over unitary Shimura curves and local-global compatibility. [Doctoral Dissertation]. Université Paris-Sud – Paris XI; 2015. Available from: http://www.theses.fr/2015PA112035

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Open Access Theses and Dissertations