24 July 2022 to 2 August 2022
House of International Conferences
Europe/Moscow timezone

Relativistic GL(NM, C) Gaudin models on elliptic curve

30 Jul 2022, 20:00
House of International Conferences

House of International Conferences

Dubna, Russia
Board: 17
Poster (portrait A1 or landscape A0) Young Scientist Forum Poster Session


Elizaveta Trunina


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

Presentation Materials

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