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Brigham Young University - Provo

Proven Cases of a Generalization of Serre's Conjecture

Abstract

dc:description.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

thesis:*
Name thesis:degree_name
MS
Grantor dc:publisher
Brigham Young University - Provo

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Blackhurst, Jonathan H.

Subjects

dc:subject × 3

Rights

Language dc:language
English

Identifiers

dc:identifier.*
Repository record dc:identifier
https://scholarsarchive.byu.edu/etd/529
OAI identifier oai:identifier
oai:scholarsarchive.byu.edu:etd-1528

Chain of custody

source
Harvested from
Brigham Young University
Base URL
scholarsarchive.byu.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Blackhurst, Jonathan H.. Proven Cases of a Generalization of Serre's Conjecture. Brigham Young University - Provo, https://scholarsarchive.byu.edu/etd/529