Date
2024/11/21 Thu 14:30 - 16:00
Room
RIMS006号室
Speaker
Kari Vilonen
Affiliation
University of Melbourne
Abstract
I will explain how Beilinson-Bernstein localization theory can be extended to mixed Hodge modules. A while back Schmid that the global sections functor takes mixed Hodge modules on a flag manifold to mixed Hodge structures. We cannot completely prove this conjecture but can prove enough of it so that it has implications for representation theory of real groups. For example one gets a Hodge theoretic characterization of unitarity.