Algebraic Geometry Seminar | Izzet Coskun (UIC)

Title: Brill-Noether for moduli spaces of sheaves on surfaces

Abstract: 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.

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