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You searched for +publisher:"University of Texas – Austin" +contributor:("Helm, David, doctor of mathematics"). Showing records 1 – 2 of 2 total matches.

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1. Haque, Mohammad Moinul. Realizability of tropical lines in the fan tropical plane.

Degree: PhD, Mathematics, 2013, University of Texas – Austin

In this thesis we construct an analogue in tropical geometry for a class of Schubert varieties from classical geometry. In particular, we look at the collection of tropical lines contained in the fan tropical plane. We call these tropical spaces "tropical Schubert prevarieties", and develop them after creating a tropical analogue for flag varieties that we call the "flag Dressian". Having constructed this tropical analogue of Schubert varieties we then determine that the 2-skeleton of these tropical Schubert prevarieties is realizable. In fact, as long as the lift of the fan tropical plane is in general position, only the 2-skeleton of the tropical Schubert prevariety is realizable. Advisors/Committee Members: Helm, David, doctor of mathematics (advisor).

Subjects/Keywords: Tropical geometry; Algebraic geometry; Geometry; Tropical; Deformation theory; Obstruction; Realizability

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APA (6th Edition):

Haque, M. M. (2013). Realizability of tropical lines in the fan tropical plane. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/21209

Chicago Manual of Style (16th Edition):

Haque, Mohammad Moinul. “Realizability of tropical lines in the fan tropical plane.” 2013. Doctoral Dissertation, University of Texas – Austin. Accessed July 09, 2020. http://hdl.handle.net/2152/21209.

MLA Handbook (7th Edition):

Haque, Mohammad Moinul. “Realizability of tropical lines in the fan tropical plane.” 2013. Web. 09 Jul 2020.

Vancouver:

Haque MM. Realizability of tropical lines in the fan tropical plane. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2013. [cited 2020 Jul 09]. Available from: http://hdl.handle.net/2152/21209.

Council of Science Editors:

Haque MM. Realizability of tropical lines in the fan tropical plane. [Doctoral Dissertation]. University of Texas – Austin; 2013. Available from: http://hdl.handle.net/2152/21209


University of Texas – Austin

2. Moss, Gilbert Samuel. Interpolating gamma factors in families.

Degree: PhD, Mathematics, 2015, University of Texas – Austin

In this thesis, we extend the results of Jacquet, Piatetski-Shapiro, and Shalika [JPSS83] to construct interpolated local zeta integrals and gamma factors attached to families of admissible generic representations of GL[subscript n](F) where F is a p-adic field. Our families are parametrized by the spectrum of an ℓ-adic coefficient ring where ℓǂp. To show the importance of gamma factors, we prove a converse theorem in families, which says that suitable collections of interpolated gamma factors of pairs uniquely determine a family of representations, up to supercuspidal support. To prove the converse theorem we re-prove a classical vanishing Lemma, originally due to Jacquet and Shalika, in the setting of families. This is done by extending the geometric methods of Bushnell and Henniart to families, via Helm's theory of the integral Bernstein center. Advisors/Committee Members: Helm, David, doctor of mathematics (advisor), Voloch, José Felipe (advisor), Ben-Zvi, David (committee member), Ciperiani, Mirela (committee member), Schedler, Travis (committee member).

Subjects/Keywords: Local Langlands; Families; Whittaker; Gamma factor; P-adic

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

APA (6th Edition):

Moss, G. S. (2015). Interpolating gamma factors in families. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/31509

Chicago Manual of Style (16th Edition):

Moss, Gilbert Samuel. “Interpolating gamma factors in families.” 2015. Doctoral Dissertation, University of Texas – Austin. Accessed July 09, 2020. http://hdl.handle.net/2152/31509.

MLA Handbook (7th Edition):

Moss, Gilbert Samuel. “Interpolating gamma factors in families.” 2015. Web. 09 Jul 2020.

Vancouver:

Moss GS. Interpolating gamma factors in families. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2015. [cited 2020 Jul 09]. Available from: http://hdl.handle.net/2152/31509.

Council of Science Editors:

Moss GS. Interpolating gamma factors in families. [Doctoral Dissertation]. University of Texas – Austin; 2015. Available from: http://hdl.handle.net/2152/31509

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