Algebraic Geometry Seminar
Christian Schnell
Stony Brook
From the generic vanishing theorem to D-modules
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.
Wednesday November 28, 2012 at 4:00 PM in SEO 427