Brill--Noether theory and determinantal formulas for degeneracy loci

Other Talks
Friday, February 23, 2018 - 5:00pm for 1 hour (actually 50 minutes)
Classroom 105 in the D.M. Smith building
Associate Professor – Swarthmore College –
Joseph Rabinoff
Degeneracy loci of morphisms between vector bundles have been used in a wide range of situations, including classical approaches to the Brill--Noether theory of special divisors on curves. I will describe recent developments in Schubert calculus, including K-theoretic formulas for degeneracy loci and their applications to K-classes of Brill--Noether loci. These recover the formulas of Eisenbud--Harris, Pirola, and Chan--López--Pflueger--Teixidor for Brill--Noether curves. This is joint work with Dave Anderson and Nicola Tarasca.