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In the 70s, Deligne and Lusztig studied representations of finite groups of Lie type by realizing them in the cohomology of suitable subvarieties of flag varieties. Affine Deligne-Lusztig varieties are a generalization to subvarieties of affine flag varieties. They occur naturally in the study of the reduction modulo p of Shimura varieties. In this talk I will explain the definition of affine Deligne-Lusztig varieties and give a survey of recent results on their geometry.
Donnerstag, den 18. Juli 2019 um 17.15 Uhr, in INF 205, HS Mathematikon Donnerstag, den 18. Juli 2019 at 17.15, in INF 205, HS Mathematikon
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. A. Schmidt