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Title:On a Local-Global Conjecture in Galois Deformation Theory
Author(s):Liow, Yihsiang
Doctoral Committee Chair(s):N. Boston
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
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.
Issue Date:1997
Type:Text
Language:English
Description:67 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.
URI:http://hdl.handle.net/2142/86950
Other Identifier(s):(MiAaPQ)AAI9812683
Date Available in IDEALS:2015-09-28
Date Deposited:1997


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