Geometric wonders of classical and quantum integrable systems
Anton Zeitlin, Louisiana State University
Location: This talk is a zoom talk, closed to members of the Rutgers mathematics community.
Date & time: Thursday, 22 December 2022 at 2:00PM - 3:00PM
Abstract: Integrable systems, both classical and quantum, kept reemerging in mathematics and theoretical physics during the past several decades. In this talk, after briefly reviewing classical and quantum integrable systems, I will focus on two recent geometric incarnations of integrable systems based on quantum groups, solved by the algebraic Bethe ansatz method. One is motivated by studying 2- and 3-dimensional supersymmetric gauge theories and mathematically explained through enumerative geometry of quiver varieties. Another comes from an instance of geometric Langlands correspondence. Finally, I will explain the relationship between these two geometrizations and discuss their applications