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Explicit Computations Supporting a Generalization of Serre's Conjecture Explicit Computations Supporting a Generalization of Serre's Conjecture

by Hansen, Brian Francis

Abstract (Summary)
Serre's conjecture on the modularity of Galois representations makes a connection between two-dimensional Galois representations and modular forms. A conjecture by Ash, Doud, and Pollack generalizes Serre's to higher-dimensional Galois representations. In this paper we discuss an explicit computational example supporting the generalized claim. An ambiguity in a calculation within the example is resolved using a method of complex approximation.
Bibliographical Information:

Advisor:

School:Brigham Young University

School Location:USA - Utah

Source Type:Master's Thesis

Keywords:serre conjecture galois representations modular forms complex approximation ash doud pollack computation

ISBN:

Date of Publication:05/19/2005

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