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| University of Bialystok |
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Webpage by: Tomasz Golinski
| XXXVIII Workshop on Geometric Methods in Physics | 30.06-6.07.2019 |
| VIII School on Geometry and Physics | 24-28.06.2019 |
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Oleg ChalykhQuiver varieties and integrable systemsI will first review the formalism of double Poisson and quasi-Poisson brackets, due to Van den Bergh. This provides a method for performing (quasi-)Hamiltonian reduction leading to quiver varieties (going back to Nakajima) and their multiplicative version (due to Crawley-Boevey and Shaw). The (multiplicative) quiver varieties thus form a rich class of Poisson varieties, and it is natural to ask whether they accommodate interesting integrable systems. I will explain how the classical Calogero--Moser system and its variants can be produced starting from fairly simple quivers. Based on joint works with A. Silantyev (Dubna) and M. Fairon (Leeds). |
| Event sponsored by: | |||||
| University of Bialystok |
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