Potential automorphy for general linear groups
Abstract/Contents
- Abstract
- We prove potential automorphy results for a single Galois representation of global Galois field with p-adic coefficients. The strategy is to use the p, q switch trick to go between the p-adic and q-adic realisation of a certain variant of the Dwork motive. We choose this variant to break self-duality shape of the motives, but not the Hodge-Tate weights. Another key point to prove is that certain p-adic representations we choose that come from the Dwork motives is ordinarily automorphic. The majority of the work is published on Inventiones Mathematicae volume 231, pages 1239--1275 (2023).
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 | 2023; ©2023 |
| Publication date | 2023; 2023 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Qian, Lie |
|---|---|
| Degree supervisor | Taylor, R. L. (Richard Lawrence), 1962- |
| Thesis advisor | Taylor, R. L. (Richard Lawrence), 1962- |
| Thesis advisor | Conrad, Brian, 1970- |
| Thesis advisor | Vakil, Ravi |
| Degree committee member | Conrad, Brian, 1970- |
| Degree committee member | Vakil, Ravi |
| Associated with | Stanford University, School of Humanities and Sciences |
| Associated with | Stanford University, Department of Mathematics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Lie Qian. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2023. |
| Location | https://purl.stanford.edu/yn815wp7042 |
Access conditions
- Copyright
- © 2023 by Lie Qian
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