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Title:Toward a deformation theory for Galois representations of function fields
Author(s):Ose, David Thomas
Doctoral Committee Chair(s):Boston, Nigel
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:We consider a question of describing the one-dimensional P-adic representations that lift a given representation over a finite field of the absolute Galois group of a function field K. In this case, the characterization of abelian p-power extensions of fields of characteristic p can be extended and refined to allow only restricted ramification at the places of K, and can be a tool for analyzing one-dimensional P-adic representations. We then turn to the problem of classifying those representations which can be realized as the action of the Galois group on the division points of a rank one Drinfeld module, discussing both results and a conjecture about form of the representations that arise in this manner.
Issue Date:1995
Type:Text
Language:English
URI:http://hdl.handle.net/2142/23755
Rights Information:Copyright 1995 Ose, David Thomas
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9624453
OCLC Identifier:(UMI)AAI9624453


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