Seminar Event Detail

Algebraic Geometry

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

Event Organizer:     


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