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Proven Cases Of A Generalization Of Serre's Conjecture, Jonathan H. Blackhurst
Proven Cases Of A Generalization Of Serre's Conjecture, Jonathan H. Blackhurst
Theses and Dissertations
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.