The cohomology of a general stable sheaf on a K3 surface

Abstract: Classical Brill-Noether theory studies the cohomology jumping loci for line bundles on curves. On surfaces, even the generic cohomology of a sheaf in a moduli space may be hard to determine. In this talk, I will explain how to compute the cohomology of a general stable sheaf on a K3 surface using Bridgeland stability. If time permits, I will discuss the case of abelian surfaces. This is joint work with Howard Nuer and Kota Yoshioka.

algebraic geometry

Audience: researchers in the topic

Stanford algebraic geometry seminar

Series comments: The seminar was online for a significant period of time, but for now is solely in person. More seminar information (including slides and videos, when available): agstanford.com