# A generic Nakano vanishing theorem

Tuesday, October 23, 2012 -

4:30pm to 6:00pm

The genenic vanishing theorem of Green-Lazarsfeld says, roughly speaking, that the cohomology of a generic topologically trivial line bundle on a compact Kaehler manifold vanishes below a certain degree that depends only on the Albanese mapping. I will explain how to generalize this to a Nakano-type vanishing theorem and, in the process, talk about a special class of coherent sheaves on abelian varieties.

Speaker:

Christian Schnell

Stony Brook University

Event Location:

Fine Hall 322