Christian Schnell : From the generic vanishing theorem to D-modules

Posted by Mihnea Popa , part of the Algebraic Geometry Seminar.

At

Nov. 28, 2012, 4 p.m.

In

SEO 427

Abstract

In the late 1980s, Green and Lazarsfeld studied the cohomology of topologically trivial line bundles on compact Kaehler manifolds. Among other things, they proved the "generic vanishing theorem": the cohomology of a generic such line bundle vanishes below a certain degree that only depends on the manifold. Recently, Mihnea Popa and I discovered that behind those results lies a certain class of D-modules on abelian varieties; in the talk, I am going to explain why.