SMOOTHNESS OF SCHUBERT VARIETIES IN TWISTED AFFINE GRASSMANNIANS

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Etudes Sci Publ Math 41 (1972), 5–252 ´ [3] Gille, Notes on Bruhat–Tits theory, 2009 [4] Hijikata, Maximal compact subgroups of some p-adic classical groups, 1964 [5] Iwahori and Matsumoto, On some Bruhat decomposition and the struc-ture of the Hecke rings of p-adic Chevalley groups, Inst Hautes Etudes´ Sci Publ Math 25 (1965), 5

DIMENSIONS OF SOME AFFINE DELIGNE-LUSZTIG

2 Affine Deligne-Lusztig varieties inside the affine Grassmannian 2 1 Further preliminaries For νin X∗(A) or a we write νdom for the unique dominant element in the W-orbit of ν For cocharacters ,ν ∈ X∗(A) we say that ν≤ µif µ−νis a non-negative integral linear combination of positive coroots

Talk given at the seminar for the 50’th birthday of G

ON AFFINE DELIGNE-LUSZTIG VARIETIES M RAPOPORT Talk given at the seminar for the 50’th birthday of G Faltings at the Max-Planck-Institute in Bonn 1 Definitions Let G be a reductive group over F q Let B be a Borel subgroup deﬁned over F q, and let T be a maximal torus contained in B We denote by a tilde the groups deﬁned over F

Moufang affine buildings have Moufang spherical buildings at

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DIMENSIONS OF SOME AFFINE DELIGNE-LUSZTIG LES DIMENSIONS DE

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