|Date: Wednesday, October 25, 2017
Location: 4096 East Hall (4:10 PM to 5:30 PM)
Title: New formulas for degeneracy loci, and applications to Brill-Noether theory
Abstract: A basic problem from the 19th century asks for the degree of the locus of matrices of bounded rank; the answer is given by Giambelliâ€™s determinantal formula. Over the last 25 years, many extensions of this formula have been found, including versions related to classical groups, as well as formulas valid in K-theory or other generalized cohomology theories.
I will describe some of these new formulas, as well as an application: computing the genus of a Brill-Noether variety parametrizing special divisors on a curve. Much of this is joint work with William Fulton, Linda Chen and Nicola Tarasca.
Speaker: Dave Anderson
Institution: Ohio State