GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O

Hilburn, Justin

Author	Hilburn, Justin
Title	GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O
URL	http://hdl.handle.net/1794/20456
Publication Date	2016
Date Accessioned	2016-10-27 18:38:29
Degree	PhD
Discipline/Department	Department of Mathematics
Degree Level	doctoral
University/Publisher	University of Oregon
Abstract	In this thesis I show that indecomposable projective and tilting modules in hypertoric category O are obtained by applying a variant of the geometric Jacquet functor of Emerton, Nadler, and Vilonen to certain Gel'fand-Kapranov-Zelevinsky hypergeometric systems. This proves the abelian case of a conjecture of Bullimore, Gaiotto, Dimofte, and Hilburn on the behavior of generic Dirichlet boundary conditions in 3d N=4 SUSY gauge theories.
Subjects/Keywords	3d N=4; Boundary condition; Category O; Hypertoric; Symplectic duality; Symplectic resolution
Contributors	Proudfoot, Nicholas (advisor)
Language	en
Rights	All Rights Reserved.
Country of Publication	us
Record ID	handle:1794/20456
Repository	oregon
Date Retrieved	2020-06-15
Date Indexed	2020-06-18
Grantor	University of Oregon
Issued Date	2016-10-27 00:00:00

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