Abstract

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.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2005-06-03

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd842

Keywords

Serre, conjecture, Galois representations, modular forms, complex approximation, Ash, Doud, Pollack, computation

Included in

Mathematics Commons

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