Ruijsenaars duality for B, C, D Toda chains
演讲者
时间
2024年06月04日 16:00 至 17:00
地点
A6-101
线上
Zoom 873 9209 0711
(BIMSA)
摘要
We use the Hamiltonian reduction method to construct the Ruijsenaars dual systems to generalized Toda chains associated with the classical Lie algebras of types $B$, $C$, $D$. The dual systems turn out to be the $B$, $C$, and $D$ analogues of the rational Goldfish model, which is, as in the type $A$ case, the strong coupling limit of rational Ruijsenaars systems. We explain how both types of systems emerge in the reduction of the cotangent bundle of a Lie group and provide the formulae for dual Hamiltonians. We compute explicitly the higher Hamiltonians of Goldfish models using the Cauchy-Binet theorem.
Joint work with Mikhail Vasilev, arXiv:2405.08620.
Joint work with Mikhail Vasilev, arXiv:2405.08620.
演讲者介绍
Ivan Sechin has defended a PhD thesis on Mathematical Physics at Skoltech in 2022 and joined BIMSA in 2022. His research interests are mainly devoted to classical and quantum integrable systems.