Speaker
Elizaveta Trunina
Description
We present a classification for relativistic Gaudin models on GL-bundles over elliptic curve. We describe the most general GL(NM) classical elliptic finite-dimensional integrable system, in which Lax matrix has n simple poles on elliptic curve. Also, we provide a description of this model through R-matrices satisfying associative Yang-Baxter equation. Finally, we describe the inhomogeneous Ruijsenaars chain and show that it can be considered as a particular case of multispin Ruijsenaars-Schneider model.
Primary author
Elizaveta Trunina