Persistent Link:
http://hdl.handle.net/10150/238612
Title:
Serre Weights: The Partially Ramified Case
Author:
Smith, Ryan Bixby
Issue Date:
2012
Publisher:
The University of Arizona.
Rights:
Copyright © 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.
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.
Type:
text; Electronic Dissertation
Keywords:
Serre weights; Mathematics; Breuil modules; Serre's conjecture
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Mathematics
Degree Grantor:
University of Arizona
Advisor:
Savitt, David

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleSerre Weights: The Partially Ramified Caseen_US
dc.creatorSmith, Ryan Bixbyen_US
dc.contributor.authorSmith, Ryan Bixbyen_US
dc.date.issued2012-
dc.publisherThe University of Arizona.en_US
dc.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.en_US
dc.description.abstractWe 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
dc.typetexten_US
dc.typeElectronic Dissertationen_US
dc.subjectSerre weightsen_US
dc.subjectMathematicsen_US
dc.subjectBreuil modulesen_US
dc.subjectSerre's conjectureen_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorSavitt, Daviden_US
dc.contributor.committeememberMcCallum, Williamen_US
dc.contributor.committeememberSharifi, Romyaren_US
dc.contributor.committeememberCais, Brydenen_US
dc.contributor.committeememberSavitt, Daviden_US
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