Convolution groups of perverse sheaves on abelian varieties

Speaker: 刘浩浩(Université de Strasbourg)

Abstract: Abelian varieties are projective varieties with a group structure. The group law induces a convolution operation for perverse sheaves, which are singular version of local systems. Via the Tannakian formalism, Krämer and Weissauer assign a linear group to each perverse sheaf. Given a family of perverse sheaves, we show that the convolution group of a very general perverse sheaf in the family is the same as the generic one. We give a geometric application to subvarieties of abelian varieties. This is joint work with Anna Cadoret.

Time: 10:00-11:00 a.m., Wednesday, Aug. 6

Location: R810, SIMIS