Michael Perlman : Mixed Hodge structure on local cohomology with support in determinantal varieties

Posted by Wenliang Zhang , part of the Commutative Algebra Seminar.

At

March 31, 2021, 4 p.m.

In

Zoom

Abstract

Given a subvariety Z in affine space, the local cohomology modules with support in Z are mixed Hodge modules. This implies that each local cohomology module is endowed with two filtrations subtly encoding the singularities of Z: the Hodge filtration and the weight filtration. We will discuss new calculations of these filtrations in the case when Z is a generic determinantal variety. Joint work with Claudiu Raicu.