Abstract
In the 1970's Serre conjectured a correspondence between modular forms and two-dimensional Galois representations. Ash, Doud, and Pollack have extended this conjecture to a correspondence between Hecke eigenclasses in arithmetic cohomology and n-dimensional Galois representations. We present some of the first examples of proven cases of this generalized conjecture.
Degree
MS
College and Department
Physical and Mathematical Sciences; Mathematics
Rights
http://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Blackhurst, Jonathan H., "Proven Cases of a Generalization of Serre's Conjecture" (2006). Theses and Dissertations. 529.
https://scholarsarchive.byu.edu/etd/529
Date Submitted
2006-07-07
Document Type
Thesis
Handle
http://hdl.lib.byu.edu/1877/etd1386
Keywords
Galois representations, number theory
Language
English