A Tannakian Framework for Displays and Rapoport-Zink Spaces
| dc.contributor.advisor | Haines, Thomas J | en_US |
| dc.contributor.author | Daniels, Patrick | en_US |
| dc.contributor.department | Mathematics | en_US |
| dc.contributor.publisher | Digital Repository at the University of Maryland | en_US |
| dc.contributor.publisher | University of Maryland (College Park, Md.) | en_US |
| dc.date.accessioned | 2020-07-08T05:34:27Z | |
| dc.date.available | 2020-07-08T05:34:27Z | |
| dc.date.issued | 2020 | en_US |
| dc.description.abstract | We develop a Tannakian framework for group-theoretic analogs of displays, originally introduced by Bültel and Pappas, and further studied by Lau. We use this framework to define Rapoport-Zink functors associated to triples (G, {μ}, [b]), where G is a flat affine group scheme over Zp and μ is a cocharacter of G defined over a finite unramified extension of Zp. We prove these functors give a quotient stack presented by Witt vector loop groups, thereby showing our definition generalizes the group-theoretic definition of Rapoport-Zink spaces given by Bültel and Pappas. As an application, we prove a special case of a conjecture of Bültel and Pappas by showing their definition coincides with that of Rapoport and Zink in the case of unramified EL-type local Shimura data. | en_US |
| dc.identifier | https://doi.org/10.13016/g0m2-i2ix | |
| dc.identifier.uri | http://hdl.handle.net/1903/26065 | |
| dc.language.iso | en | en_US |
| dc.subject.pqcontrolled | Mathematics | en_US |
| dc.subject.pquncontrolled | displays | en_US |
| dc.subject.pquncontrolled | p-divisible groups | en_US |
| dc.subject.pquncontrolled | Rapoport-Zink spaces | en_US |
| dc.title | A Tannakian Framework for Displays and Rapoport-Zink Spaces | en_US |
| dc.type | Dissertation | en_US |
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