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# Dr. Peter Kototeev, Berkeley – Opers and Integrable Systems

## November 4, 2022 @ 4:00 pm - 5:00 pm

Mode: In person

Title: Opers and Integrable Systems

Abstract: I will explain how the geometric construction of opers (as well as its difference and elliptic generalizations) is related to quantum and classical integrable systems. Opers thereby provide a framework to study dualities between various types of integrable models of Calogero-Ruijsenaars type and quantum spin chains (XXX, XXY, and XYZ). I will also mention connections between opers and cluster algebras.