Speaker: Yusuf Mustopa, UMass Amherst/Tufts University

Title: Effective Global Generation on Varieties with Numerically Trivial Canonical Bundle

Date: 03/13/2019

Time: 3:00 PM - 4:00 PM

Place: C304 Wells Hall

Fujita’s freeness conjecture predicts that if X is a smooth projective variety and A is an ample divisor on X, then K+mA is basepoint-free when m is at least dim(X)+1. Although this statement is optimal (as can be seen when X is projective space) there are much better statements for abelian varieties and surfaces with numerically trivial canonical bundle. In this talk, I will discuss a result of Fujita type for smooth projective varieties having numerically trivial canonical bundle, as well as its application to moduli spaces of sheaves on abelian surfaces. This is joint work with Alex Kuronya.