G-valued flat deformations and local models
Abstract/Contents
- Abstract
- We construct resolutions of G-valued local Galois deformation rings by moduli spaces of Kisin modules with G-structure when l = p. This generalizes Mark Kisin's work on potentially semi-stable deformation rings. In the case of flat deformations, we prove a structural result about these resolutions which relates the connected components of G-valued flat deformation rings to the connected components of projective varieties in characteristic p, which are moduli spaces of linear algebra data. As a key step in the study of these resolutions, we prove a full faithfulness result in integral p-adic Hodge theory. We also generalize results of Pappas and Zhu on local models of Shimura varieties to groups arising from Weil restrictions.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2013 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Levin, Brandon William Allen |
|---|---|
| Associated with | Stanford University, Department of Mathematics. |
| Primary advisor | Conrad, Brian, 1970- |
| Thesis advisor | Conrad, Brian, 1970- |
| Thesis advisor | Vakil, Ravi |
| Thesis advisor | Venkatesh, Akshay, 1981- |
| Advisor | Vakil, Ravi |
| Advisor | Venkatesh, Akshay, 1981- |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Brandon William Allen Levin. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2013. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2013 by Brandon William Levin
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