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Iwasawa theory and p-adic families of cohomology classes
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Rockwood, Rob (2022) Iwasawa theory and p-adic families of cohomology classes. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b3869899
Abstract
This thesis consists of four papers written during the course of my PhD.
The first concerns an approach to non-ordinary Iwasawa theory and generalises the ‘plus/minus’
approach of Pollack.
The subsequent three chapters all concern p-adic families of cohomology classes. The first considers interpolation of Euler system classes for GSp4 in ordinary families. The second generalises work of Hida and Tilouine–Urban by proving control theorems for a large class of reductive groups.
The third and final paper concerns a construction for varying Euler system classes in non-ordinary families.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Iwasawa theory, Homology theory, p-adic groups, L-functions, Birch-Swinnerton-Dyer conjecture, Automorphic forms, Branching processes | ||||
Official Date: | September 2022 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Loeffler, David | ||||
Format of File: | |||||
Extent: | 97 pages | ||||
Language: | eng |
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