|Date: Wednesday, March 11, 2015
Location: 4096 East Hall (4:00 PM to 6:00 PM)
Title: Generic vanishing and compact Kaehler manifolds
Abstract: In the late 1980s, Green and Lazarsfeld studied the cohomology of topologically trivial line bundles on compact Kaehler manifolds and proved, among many other things, that the cohomology groups of a generically chosen line bundle vanish below a certain degree. In the projective case, their results have been refined by Chen, Hacon, Pareschi, Popa, and others, and have found a surprising number of applications, for example to the optimal birational characterization of abelian varieties. In the talk, I will review this story, and then explain how one can extend everything back to arbitrary compact Kaehler manifolds. This is based on joint work with Pareschi and Popa.
Speaker: Christian Schnell
Institution: Stony Brook University