Serre Weights: The Partially Ramified Case
| dc.contributor.advisor | Savitt, David | en_US |
| dc.contributor.author | Smith, Ryan Bixby | |
| dc.creator | Smith, Ryan Bixby | en_US |
| dc.date.accessioned | 2012-08-14T20:21:50Z | |
| dc.date.available | 2012-08-14T20:21:50Z | |
| dc.date.issued | 2012 | |
| dc.identifier.uri | http://hdl.handle.net/10150/238612 | |
| 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. | |
| dc.language.iso | en | en_US |
| dc.publisher | The University of Arizona. | en_US |
| dc.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. | en_US |
| dc.subject | Serre weights | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Breuil modules | en_US |
| dc.subject | Serre's conjecture | en_US |
| dc.title | Serre Weights: The Partially Ramified Case | en_US |
| dc.type | text | en_US |
| dc.type | Electronic Dissertation | en_US |
| thesis.degree.grantor | University of Arizona | en_US |
| thesis.degree.level | doctoral | en_US |
| dc.contributor.committeemember | McCallum, William | en_US |
| dc.contributor.committeemember | Sharifi, Romyar | en_US |
| dc.contributor.committeemember | Cais, Bryden | en_US |
| dc.contributor.committeemember | Savitt, David | en_US |
| thesis.degree.discipline | Graduate College | en_US |
| thesis.degree.discipline | Mathematics | en_US |
| thesis.degree.name | Ph.D. | en_US |
| refterms.dateFOA | 2018-07-02T03:34:20Z | |
| html.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. |
