Algebraic Geometry Seminar

It is a (somewhat) classical fact that the (perverse) Leray filtration on the cohomology of a family of abelian varieties can be recovered from Chern characters of the Poincaré line bundle. In this talk, we investigate a generalization in two directions: allowing both singular fibers and extensions of abelian varieties by finite abelian groups. This is motivated by the geometry of the moduli space of SL Higgs bundles (and in particular, the multiplicativity of the perverse filtration).