On a Local-Global Conjecture in Galois Deformation Theory
Liow, Yihsiang
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https://hdl.handle.net/2142/86950
Description
Title
On a Local-Global Conjecture in Galois Deformation Theory
Author(s)
Liow, Yihsiang
Issue Date
1997
Doctoral Committee Chair(s)
N. Boston
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
In 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.
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