VIRTUAL SEMINAR SERIES -- INTEGRABLE SYSTEMS: Integrable systems on (multiplicative) quiver varieties

Maxime Fairon (University of Glasgow)

Wednesday 20th October 13:00-14:30 Zoom seminar hosted by ICMS

Abstract

In 2015, Chalykh and Silantyev observed that generalisations of the Calogero-Moser system with different types of spins can be constructed on quiver varieties associated with cyclic quivers. Building on their work, I will explain how such systems can be visualised at the level of the quiver, and how to prove that we can form (degenerately) integrable systems. I will then outline how this construction can be adapted to obtain generalisations of the Ruijsenaars-Schneider system if one  uses multiplicative quiver varieties associated with the same quivers. This talk is partly based on arXiv:2108.02496, and on previous works with Oleg Chalykh and Tamás Görbe.

 

For more information, and how to access the seminar through Zoom, see the webpage of the events here.

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