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Toward a deformation theory for Galois representations of function fields

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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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