Geometric representations of W-algebras and applications to the quantum Langlands correspondence
Abstract/Contents
- Abstract
- Fix a reductive group G, and consider the affine W-algebra associated to a principal nilpotent element of the Lie algebra of G. We determine the block decomposition of its category of highest weight, i.e. positive energy, representations, and identify regular blocks with Whittaker sheaves on the affine flag variety of G. We also identify the latter category, under a mild hypothesis on the central charge, with Category O for the affinization of the Langlands dual Lie algebra at the dual central charge. The latter confirms a conjecture of Gaitsgory, and implies non-factorizably, a related conjecture of Gaitsgory and Lurie
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2020; ©2020 |
| Publication date | 2020; 2020 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Dhillon, Gurbir |
|---|---|
| Degree supervisor | Bump, Daniel, 1952- |
| Degree supervisor | Yun, Zhiwei, 1982- |
| Thesis advisor | Bump, Daniel, 1952- |
| Thesis advisor | Yun, Zhiwei, 1982- |
| Thesis advisor | Vakil, Ravi |
| Degree committee member | Vakil, Ravi |
| Associated with | Stanford University, Department of Mathematics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Gurbir Dhillon |
|---|---|
| Note | Submitted to the Department of Mathematics |
| Thesis | Thesis Ph.D. Stanford University 2020 |
| Location | electronic resource |
Access conditions
- Copyright
- © 2020 by Gurbir Dhillon
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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