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Workshop, Yegor Zenkevich: Spiralling branes and integrable systems

Date: 2025-01-20

Time: 13:30 - 14:30

Speaker
Yegor Zenkevich, Edinburgh U

Abstract
We propose a new construction of integrable systems using the R-matrices of quantum toroidal algebras. In particular, we establish a connection between quantum toroidal algebras and “non-stationary elliptic Ruijsenaars-Schneider wavefunctions” of Shiraishi. This allows us to prove an integral formula for the eigenfunctions of elliptic Ruijsenaars-Schenider system.