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Department of Mathematics,
University of California San Diego


Department Colloquium

Anton Zeitlin

Louisiana State University

Geometric wonders of classical and quantum integrable systems


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.

Izadi Elham and Dragos Oprea

January 30, 2023

4:00 PM

APM 6402