The Bathe ansatz equations and integrable systems of particles (Igor Krichever, Columbia & Skoltech)

16.10.2019 10:00 – 12:00

We consider the space of solutions of the Bethe ansatz equations of the $\widehat{\frak{sl}_N}$ XXX quantum integrable model, associated with the trivial representation of $\widehat{\frak{sl}_N}$. We construct a family of commuting flows on this space and identify the flows with the flows of coherent rational Ruijesenaars-Schneider systems. For that we develop in full generality the spectral transform for the rational Ruijesenaars-Schneider system.

Lieu

Bâtiment: Battelle

Séminaire "The Stokes seminar"

entrée libre