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University of Illinois at Urbana-Champaign
On a Local-Global Conjecture in Galois Deformation Theory
Abstract
dc:descriptionIn this thesis, we examine a conjecture of N. Boston which says that given an odd irreducible mod p Galois representation, there exist lifts which behave according to prescribed behavior when restricted to inertia subgroups at certain rational primes. We prove that the conjecture holds when a cohomological criterion is imposed on the mod p representation. We then show that the criterion holds for examples of interest to number theorists.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Liow, Yihsiang
- Contributors dc:contributor
-
- N. Boston
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI9812683
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86950