Speaker: Alexander Shapiro (University of Edinburgh, Great Britain)
Date and time: 29.09.2021, 17:00 (GMT +03:00)
Title: Cluster structure on quantum Toda chain
Abstract: Double Bruhat cells serve as phase spaces for a family of (degenerately) integrable systems, the generalized open Toda lattices. From cluster algebraic perspective double Bruhat cells were studied by Berenstein–Fomin–Zelevinsky and Fock–Goncharov, while the Toda lattice was investigated by Gekhtman–Shapiro–Vainshtein. In this talk I will describe cluster Poisson coordinates on double Bruhat cells, and use them to recover the quantum Toda lattice. If time permits, I will also briefly discuss our joint work with Gus Schrader on the eigenfunctions of the quantum Toda Hamiltonians.
To access the online seminar please contact Anna Tolbey firstname.lastname@example.org