Geometry of Integrable Systems

Time：Fri., 13:30-16:30, Sept. 19-Dec. 5, 2025

Venue：B627, Shuangqing Complex Building A

Organizer：/

Speaker：Peter Koroteev

Speaker：

Peter Koroteev（BIMSA）

Time：

Fri., 13:30-16:30,

Sept. 19-Dec. 5, 2025

Venue：

B627, Shuangqing Complex Building A

Online：

Zoom Meeting ID: 637 734 0280

Passcode: BIMSA

Description:

In this course, I will explain how quantum and classical integrable systems arise from algebrogeometric constructions. In particular, I will discuss space of opers and their deformations on the projective line and how this space leads to both quantum spin chains (XXX, XXZ, XYZ) and classical many-body systems (Calogero, Ruijsenaars, etc). The two types of systems are related to each other via so-called quantum/classical duality which is an integrable systems avatar of the Geometric Langlands correspondence.

DATEOctober 30, 2025

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