Brill-Noether loci for K3 categories

Abstract: I will discuss Brill-Noether loci in moduli spaces of stable objects in K3 categories. The question we are interested is whether these Brill-Noether loci are of expected dimensions. I will explain how the symplectic structures on the moduli spaces guarantee a large class of Brill-Noether loci has dimensions as expected. This is based on joint work with Arend Bayer and Qingyuan Jiang.

algebraic geometrynumber theory

Audience: researchers in the topic

UCSB Seminar on Geometry and Arithmetic