Monday, May 18th, 2015
2:35pm - 3:35pm, in Campus Center 2-2545

Alberto Lopez

IMPA, Brasil

Young tableaux and the genus of the Brill-Noether curve

Abstract: Embeddings of algebraic curves in projective space are often studied using Brill-Noether varieties $G^r_d(X)$, which parameterize linear series on $X$. Using the theory of limit linear series, I will discuss ongoing work with Chan, Pflueger, and Teixidor, in which we use a result on random standard Young tableaux to give a new proof of the classical formula for the genus of the Brill-Noether curve.