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Serre Weights: The Partially Ramified Case

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.

Identiferoai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/238612
Date January 2012
CreatorsSmith, Ryan Bixby
ContributorsSavitt, David, McCallum, William, Sharifi, Romyar, Cais, Bryden, Savitt, David
PublisherThe University of Arizona.
Source SetsUniversity of Arizona
LanguageEnglish
Detected LanguageEnglish
Typetext, Electronic Dissertation
RightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.

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