Poisson-Lie groups, integrable systems and the Berenstein-Kazhdan potential

Abstract: Integrable systems and Poisson-Lie groups are closely related topics. In this talk, we will explain how integrability helps in understanding Poisson geometry of the dual Poisson-Lie group $K^*$ of a compact Lie group $K$. One of our main tools will be the Berenstein-Kazhdan potential from the theory of canonical bases.

The talk is based on joint works with A. Berenstein, I. Davidenkova, B. Hoffman, J. Lane and Y. Li.

mathematical physicsalgebraic geometrydifferential geometrygeometric topologyoperator algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

Geometry, Physics, and Representation Theory Seminar

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