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Serre Weights: The Partially Ramified Case
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- We study the possible weights of an irreducible 2-dimensional modular mod p representation of Gal (F/F), where F is a totally real field in which p is allowed to ramify, and the representation is tamely ramified at primes above p. We describe a set of possible weights and completely determine the weights in some cases when e = 2, f = 2.
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|dc.title||Serre Weights: The Partially Ramified Case||en_US|
|dc.creator||Smith, Ryan Bixby||en_US|
|dc.contributor.author||Smith, Ryan Bixby||en_US|
|dc.publisher||The University of Arizona.||en_US|
|dc.description.abstract||We study the possible weights of an irreducible 2-dimensional modular mod p representation of Gal (F/F), where F is a totally real field in which p is allowed to ramify, and the representation is tamely ramified at primes above p. We describe a set of possible weights and completely determine the weights in some cases when e = 2, f = 2.||en_US|
|thesis.degree.grantor||University of Arizona||en_US|
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