XLI Workshop on Geometric Methods in PhysicsBiałystok, 1-6.07.2024XIII School on Geometry and PhysicsBiałystok, 8-12.07.2024
Tomasz Goliński
Integrable system related to restricted Grassmannian on partial isometries
This talk is about a certain hierarchy of integrable bihamiltonian systems constructed on Banach Lie–Poisson spaces related to the restricted
Grassmannian . This hierarchy was introduced in the paper with A. Odzijewicz by introducing a family of Casimir functions for a pencil of Poisson brackets on the predual space to the central extension of the unitary restricted algebra . During the previous Workshop, we realized that under an additional condition this system defines a system of equations in involution on the Banach Lie groupoid of partial isometries. A particular solution will also be presented.
This is a joint work with A.B. Tumpach.