Monday November 18, 2002

Speaker: Harry Tamvakis

Title: From linear algebra and puzzles to quantum cohomology

Abstract: The cohomology ring of the Grassmannian X=G(k,n) has been studied for well over 100 years, but the last decade has seen surprising new twists to the story. I will explain the beautiful puzzle rule of Knutson-Tao-Woodward for the triple intersection numbers on X, and an extension of this rule that conjecturally computes all 3-point, genus 0 Gromov-Witten invariants on X. These numbers are the structure constants of the quantum cohomology ring of X. Only linear algebra is required to follow this talk.