자료유형 | 학위논문 |
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서명/저자사항 | The Langlands-Kottwitz Method and Deformation Spaces of p-Divisible Groups of Abelian. |
개인저자 | Youcis, Alexander Frank. |
단체저자명 | University of California, Berkeley. Mathematics. |
발행사항 | [S.l.]: University of California, Berkeley., 2019. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
형태사항 | 192 p. |
기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
ISBN | 9781085794107 |
학위논문주기 | Thesis (Ph.D.)--University of California, Berkeley, 2019. |
일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Shin, Sug Woo. |
이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
요약 | In [Sch13c] Scholze describes a formula, similar to those classically known as Langlands-Kottwitz type formulas, describing the trace of the cohomology of certain PEL type Shimura varieties at sub-hyperspecial level as sums of volume factors, orbital integrals, and twisted orbital integrals. The contribution to this formula arising from the prescence of non-hyperspecial level is encapsulated in the twisted orbital integral, the integrand of which can be described entirely in terms of cohomology of certain locally defined deformation spaces of p-divisible groups. In this thesis we extend these results, with some mild restrictions, to the case of abelian type Shimura varieties. |
일반주제명 | Mathematics. |
언어 | 영어 |
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