GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O
| dc.contributor.advisor | Proudfoot, Nicholas | |
| dc.contributor.author | Hilburn, Justin | |
| dc.date.accessioned | 2016-10-27T18:38:29Z | |
| dc.date.available | 2016-10-27T18:38:29Z | |
| dc.date.issued | 2016-10-27 | |
| dc.description.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. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/20456 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Oregon | |
| dc.rights | All Rights Reserved. | |
| dc.subject | 3d N=4 | en_US |
| dc.subject | Boundary condition | en_US |
| dc.subject | Category O | en_US |
| dc.subject | Hypertoric | en_US |
| dc.subject | Symplectic duality | en_US |
| dc.subject | Symplectic resolution | en_US |
| dc.title | GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O | |
| dc.type | Electronic Thesis or Dissertation | |
| thesis.degree.discipline | Department of Mathematics | |
| thesis.degree.grantor | University of Oregon | |
| thesis.degree.level | doctoral | |
| thesis.degree.name | Ph.D. |
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