Minyoung Jeon, Prym-Brill-Noether Loci and Prym-Petri Theorem

Prym varieties are abelian varieties constructed from etale double covers of algebraic curves. In 1985, Welters equipped Prym varieties with Brill-Noether loci. In this talk, we will describe the Prym-Brill-Noether loci with special vanishing at up to two marked points and will then give K-classes of the pointed and two-pointed Prym-Brill-Noether locus. As applications of the K-class formulas of the Prym-Brill-Noether loci, we will also provide formulas for Euler characteristics of the pointed Prym-Brill-Noether loci and coupled Prym-Petri theorem.