EVENT DETAILS AND ABSTRACT

Title: GV sheaves, Fourier-Mukai, and generic vanishing theorems
Speaker: Professor Mihnea Popa
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

The classical Kodaira and Kawamata-Viehweg vanishing theorems have some partial analogues, called Generic Vanishing Theorems, when the positivity hypotheses on line bundles are weakened. I will explain how abstract Fourier-Mukai transforms allow one to relate in a formal sense generic vanishing theorems to classical vanishing theorems. In particular I will generalize (and give algebraic proofs of) the previously known generic vanishing results. I will also show how the same techniques produce higher rank generic vanishing on moduli spaces of sheaves considered by Mukai and Bridgeland (among others).