Speaker: Laure Flapan
Date: 10:30 15/10/2020
Title: Period integrals and Hodge modules
Abstract: Classically, period integrals are computed on the cohomology of families of smooth varieties. 
More generally, classical Hodge theory, allows one to compute period integrals attached to a (pure) variation of Hodge structures. 
Saito’s theory of Hodge modules provides a framework to study the cohomology of arbitrary families of complex algebraic varieties, 
in particular without requiring smoothness of the fibers, by uniting Hodge theory with the theories of perverse sheaves and D-modules. 
In this talk, we present a notion of period integrals attached to a (pure) Hodge module which captures the behavior of period integrals 
for arbitrary families of complex algebraic varieties. This is joint work with R. Walters and X. Zhao.