Generic vanishing in positive characteristic and applications

Abstract: I will present a joint work with Christopher Hacon about finding the correct framework for generic vanishing statements for varieties over fields of positive characteristic. This has been an ongoing project since 2013 throughout multiple articles. I will also present geometric applications on the characterization of abelian varieties (also joint with Zhang) and on the singularities of Theta divisors of abelian varieties.

algebraic geometry

Audience: researchers in the topic

Columbia algebraic geometry seminar