dc.contributor.advisor | Kisin, Mark | |
dc.contributor.author | Knight, Erick Phillip | |
dc.date.accessioned | 2019-08-09T09:07:31Z | |
dc.date.created | 2017-05 | |
dc.date.issued | 2017-05-16 | |
dc.date.submitted | 2017 | |
dc.identifier.citation | Knight, Erick Phillip. 2017. A p-adic Jacquet-Langlands Correspondence. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences. | |
dc.identifier.uri | http://nrs.harvard.edu/urn-3:HUL.InstRepos:41141525 | * |
dc.description.abstract | In this paper, we construct a candidate p-adic Jacquet-Langlands correspondence.
This is a correspondence between unitary continuous admissible representations of GL2(Qp) valued in p-adic Banach spaces, and unitary continuous representations of D× valued in p-adic Banach spaces. Here, D is the quaternion algebra over Qp.
The characterizing properties that are shown are a local-global compatibility and a calculation of the locally algebraic vectors. | |
dc.description.sponsorship | Mathematics | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dash.license | LAA | |
dc.subject | Number Theory | |
dc.title | A p-adic Jacquet-Langlands Correspondence | |
dc.type | Thesis or Dissertation | |
dash.depositing.author | Knight, Erick Phillip | |
dc.date.available | 2019-08-09T09:07:31Z | |
thesis.degree.date | 2017 | |
thesis.degree.grantor | Graduate School of Arts & Sciences | |
thesis.degree.grantor | Graduate School of Arts & Sciences | |
thesis.degree.level | Doctoral | |
thesis.degree.level | Doctoral | |
thesis.degree.name | Doctor of Philosophy | |
thesis.degree.name | Doctor of Philosophy | |
dc.contributor.committeeMember | Mazur, Barry | |
dc.contributor.committeeMember | Weinstein, Jared | |
dc.type.material | text | |
thesis.degree.department | Mathematics | |
thesis.degree.department | Mathematics | |
dash.identifier.vireo | | |
dash.author.email | rp2knight@gmail.com | |