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The Langlands-Kottwitz Method and Deformation Spaces of p-Divisible Groups of Abelian

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서명/저자사항The Langlands-Kottwitz Method and Deformation Spaces of p-Divisible Groups of Abelian.
개인저자Youcis, Alexander Frank.
단체저자명University of California, Berkeley. Mathematics.
발행사항[S.l.]: University of California, Berkeley., 2019.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2019.
형태사항192 p.
기본자료 저록Dissertations Abstracts International 81-04B.
Dissertation Abstract International
ISBN9781085794107
학위논문주기Thesis (Ph.D.)--University of California, Berkeley, 2019.
일반주기 Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Shin, Sug Woo.
이용제한사항This item must not be sold to any third party vendors.This item must not be added to any third party search indexes.
요약In [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.
일반주제명Mathematics.
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