Brill-Noether for moduli spaces of sheaves on surfaces

Name: Brill-Noether for moduli spaces of sheaves on surfaces
Start: 2025-04-22T15:00:00-04:00
End: 2025-04-22T16:00:00-04:00
Location: Science Center 507

SEMINARS: HARVARD-MIT ALGEBRAIC GEOMETRY

When: April 22, 2025

3:00 pm - 4:00 pm

Where: Science Center 507

Address: 1 Oxford Street, Cambridge, MA 02138, United States

Speaker: Izzet Coskun (UIC)

In this talk, I will discuss recent work on Brill-Noether theory for moduli spaces of sheaves on surfaces. I will first discuss the cohomology of the general stable sheaf on surfaces such as K3 and abelian surfaces. If time permits, I will describe some recent results on the cohomology jumping loci. This talk is based on joint work with Jack Huizenga, Howard Nuer, Neelarnab Raha and Kota Yoshioka.