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Topics in Representation Theory
Topics in Representation Theory
q-Opers and Quantum/Classical Duality Beyond Type A
q-Opers and Quantum/Classical Duality Beyond Type A
Organizers
Speaker
Myungbo Shim [2173]
Time
Friday, October 16, 2026 1:00 PM - 2:30 PM
Venue
A3-2a-302
Online
Zoom 361 038 6975
(BIMSA)
Abstract
(G,q)-opers provide a geometric construction of the Bethe equations of the closed LG XXZ spin chain as examples of the quantum geometric Langlands correspondence of Aganagic-Frenkel-Okounkov. We extended this correspondence to open SL(2) XXZ spin chains and higher-rank cases by introducing the reflection-invariant (G,q)-opers. Based on the same principle, we extend the quantum/classical duality between closed XXZ spin chains and tRS models of type A to the duality between open XXZ spin chains and tRS systems for the classical groups: B, BC, C, and D. This talk is based on work with Peter Koroteev and Rahul Singh: 2609.04739.