dc.contributor.advisor | Kisin, Mark | |
dc.contributor.author | Zhou, Rong | |
dc.date.accessioned | 2019-05-20T10:23:55Z | |
dc.date.created | 2017-05 | |
dc.date.issued | 2017-05-11 | |
dc.date.submitted | 2017 | |
dc.identifier.uri | http://nrs.harvard.edu/urn-3:HUL.InstRepos:40046516 | * |
dc.description.abstract | We study the special fiber of the integral models for Shimura varieties of Hodge type with parahoric level structure constructed by Kisin and Pappas in \cite{KP}. We show that when the group is residually split, the points in the mod $p$ isogeny classes have the form predicted by the Langlands Rapoport conjecture in \cite{LR}.
We also verify most of the He-Rapoport axioms for these integral models without the residually split assumption. This allows us to prove that all Newton strata are non-empty for these models. | |
dc.description.sponsorship | Mathematics | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dash.license | LAA | |
dc.subject | Mathematics | |
dc.title | Mod-P Isogeny Classes on Shimura Varieties With Parahoric Level Structure | |
dc.type | Thesis or Dissertation | |
dash.depositing.author | Zhou, Rong | |
dc.date.available | 2019-05-20T10:23:55Z | |
thesis.degree.date | 2017 | |
thesis.degree.grantor | Graduate School of Arts & Sciences | |
thesis.degree.level | Doctoral | |
thesis.degree.name | Doctor of Philosophy | |
dc.contributor.committeeMember | Mazur, Barry | |
dc.contributor.committeeMember | Zhu, Xinwen | |
dc.type.material | text | |
thesis.degree.department | Mathematics | |
dash.identifier.vireo | http://etds.lib.harvard.edu/gsas/admin/view/1635 | |
dc.description.keywords | Shimura varieties; parahoric level structure; Affine Deligne-Lusztig varieties | |
dash.author.email | rzhou118@gmail.com | |