Zobrazeno 1 - 10
of 2 239
pro vyhledávání: '"Rapoport, Michael"'
In the first part of the paper, we formulate several arithmetic transfer conjectures, which are variants of the arithmetic fundamental lemma conjecture in the presence of ramification. The ramification comes from the choice of non-hyperspecial paraho
Externí odkaz:
http://arxiv.org/abs/2404.02214
We define Hecke correspondences and Hecke operators on unitary RZ spaces and study their basic geometric properties, including a commutativity conjecture on Hecke operators. Then we formulate the Arithmetic Fundamental Lemma conjecture for the spheri
Externí odkaz:
http://arxiv.org/abs/2305.14465
Autor:
Pappas, Georgios, Rapoport, Michael
We consider parahoric Bruhat-Tits group schemes over a smooth projective curve and torsors under them. If the characteristic of the ground field is either zero or positive but not too small and the generic fiber is absolutely simple and simply-connec
Externí odkaz:
http://arxiv.org/abs/2209.13457
Autor:
Pappas, Georgios, Rapoport, Michael
We give a construction of "integral local Shimura varieties" which are formal schemes that generalize the well-known integral models of the Drinfeld $p$-adic upper half spaces. The construction applies to all classical groups, at least for odd $p$. T
Externí odkaz:
http://arxiv.org/abs/2204.02829
Autor:
Pappas, Georgios, Rapoport, Michael
We establish basic results on p-adic shtukas and apply them to the theory of local and global Shimura varieties, and on their interrelation. We construct canonical integral models for (local, and global) Shimura varieties of Hodge type with parahoric
Externí odkaz:
http://arxiv.org/abs/2106.08270
We prove $p$-adic uniformization for Shimura curves attached to the group of unitary similitudes of certain binary skew hermitian spaces $V$ with respect to an arbitrary CM field $K$ with maximal totally real subfield $F$. For a place $v|p$ of $F$ th
Externí odkaz:
http://arxiv.org/abs/2007.05211
Autor:
Rapoport, Michael
This is my laudation for Scholze's Fields medal 2018.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1909.07222
We investigate qualitative properties of the underlying scheme of Rapoport-Zink formal moduli spaces of p-divisible groups, resp. Shtukas. We single out those cases when the dimension of this underlying scheme is zero, resp. those where the dimension
Externí odkaz:
http://arxiv.org/abs/1909.00423
This is a largely expository article based on our previous work on arithmetic diagonal cycles on unitary Shimura varieties. We define a class of Shimura varieties closely related to unitary groups which represent a moduli problem of abelian varieties
Externí odkaz:
http://arxiv.org/abs/1906.12346