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University of Illinois at Urbana-Champaign

Universal deformations of even Galois representations and relations to Maass wave forms

Abstract

dc:description

The whole area of deformations of Galois representations started in 1986 with a ground-breaking paper by Barry Mazur where he established the first existence theorem and some examples in the case of odd two-dimensional Galois representations. Such representations arise from elliptic curves and they produce L-functions which allows one to link them to modular forms. This link was used by Andrew Wiles to establish Fermat's Last Theorem.

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
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Bockle, Gebhard
Contributors dc:contributor
  • Ullom, Stephen V.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • Copyright 1995 Bockle, Gebhard
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
AAI9624293
(UMI)AAI9624293
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/21198

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Bockle, Gebhard. Universal deformations of even Galois representations and relations to Maass wave forms. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/21198