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.
College and Department
Physical and Mathematical Sciences; Mathematics
BYU ScholarsArchive Citation
Blackhurst, Jonathan H., "Proven Cases of a Generalization of Serre's Conjecture" (2006). All Theses and Dissertations. 529.
Galois representations, number theory