BIMSA > Integrable systems blackboard seminar Integrable systems blackboard seminar Noncommutative torus, integrable models and spectral duality
Noncommutative torus, integrable models and spectral duality
Organizers
Andrii Liashyk , Nicolai Reshetikhin , Ruijie Xu
Speaker
Rostislav Potapov
Time
Monday, March 23, 2026 3:30 PM - 4:30 PM
Venue
A7-201
Abstract
The Lie algebra of noncommutative torus may be obtained as the infinite-dimensional limit of gl_{N} Lie algebra. This construction allows Hoppe, Olshanetsky, and Theisen to introduce field-theoretical limits of integrable models with matrix-valued Lax pairs. In my talk I will describe this approach with the application to classical Gaudin models and spectral duality.