ALT

Abstract

Joint work with Raphaël Rouquier: we give an explicit construction of the normalization of the Bott-Samelson-Demazure compactification of Deligne-Lusztig varieties in their classical étale covering (with a finite torus as Galois group). We retrieve an old result of Deligne and Lusztig about the local monodromy around the divisors of this compactification.