Representations of real groups and Hodge theory

開催日時
2024/11/21 木 14:30 - 16:00
場所
RIMS006号室
講演者
Kari Vilonen
講演者所属
University of Melbourne
概要

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.