Thesis advisor: Avner D. Ash / We analyze the overconvergent cohomology modules introduced by Ash and Stevens, applying them to construct eigenvarieties for fairly general reductive groups. We then establish several instances of p-adic Langlands functoriality for these eigenvarieties, and we use these functorialities to give evidence for a precise conjecture relating trianguline Galois representations to overconvergent cohomology classes. Our main technical innovations are a family of universal coefficients spectral sequences for overconvergent cohomology and a generalization of Chenevier's interpolation theorem. / Thesis (PhD) — Boston College, 2013. / Submitted to: Boston College. Graduate School of Arts and Sciences. / Discipline: Mathematics.
| Identifer | oai:union.ndltd.org:BOSTON/oai:dlib.bc.edu:bc-ir_101262 |
| Date | January 2013 |
| Creators | Hansen, David |
| Publisher | Boston College |
| Source Sets | Boston College |
| Language | English |
| Detected Language | English |
| Type | Text, thesis |
| Format | electronic, application/pdf |
| Rights | Copyright is held by the author, with all rights reserved, unless otherwise noted. |
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