منابع مشابه
On a Conjecture of Kottwitz and Rapoport
We prove a conjecture of Kottwitz and Rapoport which implies a converse to Mazur’s Inequality for all split and quasi-split (connected) reductive groups. These results are related to the non-emptiness of certain affine Deligne-Lusztig varieties.
متن کاملA Conjecture of Kottwitz and Rapoport for Split Groups
We prove a result involving root systems that implies a converse to Mazur’s inequality for all split groups, conjectured by Kottwitz and Rapoport (see e.g. [6]). This was previously known for classical groups (see e.g. [7]) and G2 (see e.g. [3]).
متن کاملThe Conjecture of Kottwitz and Rapoport in the Case of Split Groups
We prove a result involving root systems that implies a converse to Mazur’s inequality for all split groups, conjectured by Kottwitz and Rapoport (see [10]). This was previously known for classical groups (see [11]) and G2 (see [5]).
متن کاملOn a Conjecture of Rapoport and Zink
In their book Rapoport and Zink constructed rigid analytic period spaces F for Fontaine’s filtered isocrystals and period morphisms from moduli spaces of p-divisible groups to some of these period spaces. They conjectured the existence of an étale bijective morphism F → F of rigid analytic spaces and of interesting local systems of Qp-vector spaces on F. For those period spaces possessing perio...
متن کاملOn the Conjecture of Langlands and Rapoport
FORENOTE (2007): The remarkable conjecture of Langlands and Rapoport (1987) gives a purely group-theoretic description of the points on a Shimura variety modulo a prime of good reduction. In an article in the proceedings of the 1991 Motives conference (Milne 1994, §4), I gave a heuristic derivation of the conjecture assuming a sufficiently good theory of motives in mixed characteristic. I wrote...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 2010
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.2138