Note on affine Deligne-Lusztig varieties

Abstract

This note is based on my talk at ICCM 2013, Taipei. We give an exposition of the group-theoretic method and recent results on the questions of non-emptiness and dimension of affine Deligne-Lusztig varieties in affine flag varieties.

10 pages

References in corpus (5)

• A guide to the reduction modulo p of Shimura varieties
• Ekedahl-Oort and Newton strata for Shimura varieties of PEL type
• Minimal length elements of extended affine Coxeter groups, II
• Minimal length elements in conjugacy classes of extended affine Weyl group
• $P$-alcoves and nonemptiness of affine Deligne-Lusztig varieties