Action of the braid group on the cohomology of Deligne-Lusztig varieties

Abstract

Joint work with M. Broué, O. Dudas, J. Michel and R. Rouquier : we construct an action of the centralizer of an element of the braid group on the cohomology of the associated Deligne-Lusztig variety and study its properties (Frobenius action, compatibility with Deligne-Lusztig induction, translation by an element of the center...).

Cédric Bonnafé

Born on November 4 1970, student at ENS Paris between 1990 and 1995, PhD thesis defended in December 1996, post-doc in Chicago from 1997 to 1999, research fellow at CNRS (Besançon) since 1999, director of research since 2009 (assignment to Montpellier in 2010).

Action of the braid group on the cohomology of Deligne-Lusztig varieties

Abstract

Cédric Bonnafé

Speaker(s)

Cédric Bonnafé

Events

Invariant theory and moduli spaces (1)

Action of the braid group on the cohomology of Deligne-Lusztig varieties

Invariant theory and moduli spaces (2)

Cohomology of affine Springer fibers and small quantum groups

Invariant theory and moduli spaces (3)

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See also