Web(mit G. Pappas), p-adic shtukas and the theory of global and local Shimura varieties, 2024 (mit S. Kudla, Th. Zink), On the p-adic uniformization of Shimura curves, 2024 (mit U. Gortz, X. He), Extremal cases of Rapoport-Zink spaces, 2024 (mit B. Smithling, W. Zhang), On Shimura varieties for unitary groups, 2024 WebNov 14, 2024 · Special cycles on orthogonal Shimura varieties November 2024 Authors: Ruishen Zhao Abstract In this paper, we investigate a general method to establish tame …
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Webmodels for Shimura varieties at parahoric level constructed in [PR21] satisfy p-adic uniformization, and that the Rapoport–Zink spaces considered loc.cit. agree with the moduli spaces of p-adic shtukas of [SW20] associated to the same data. 1.2. Notations. To not overload the introduction, we use common terms WebShimura Varieties, p-Adic Shtukas, and Local Systems. NSF Org: DMS Division Of Mathematical Sciences: Recipient: MICHIGAN STATE UNIVERSITY: Initial Amendment Date: March 9, 2024: ... NSF Program(s): ALGEBRA,NUMBER THEORY,AND COM: Primary Program Source: 040100 NSF RESEARCH & RELATED ACTIVIT: Program Reference Code(s): … dr. rogovin boynton beach
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WebThese are my notes for a series of fifteen lectures at the Clay Summer School, Fields Institute, Toronto, June 2 -- June 27, 2003. The original version was published as: … WebIn fact, Scholze uses this insight to de ne local Shimura varieties which are the analogues over p-adic elds of Shimura varieties. This puts into reality a hope spelled out in [RV14] and is a p-adic avatar of Scholze’s idea on global Shimura varieties. Let (G;b; ) be a local Shimura datum. We recall [RV14] that this means that Gis a reduc- WebLet us recall the formalism of local Shimura varieties and moduli spaces of p-adic shtukas. Local p-adic shtuka datum over Q p is a triple (G;[b];[ ]) where Gis a reductive group over Q p, [ ] is a conjugacy class of geometric cocharacters : G m!Gand [b] is an element of Kottwitz set B(G;[ ]). Whenever dr. rogosin oncology