VIRTUAL SEMINAR SERIES -- INTEGRABLE SYSTEMS: Homogeneous Hamiltonian operators, projective geometry and integrable systems.
Raffaele Vitolo (Universita' del Salento)
Wednesday 21st October, 2020 13:30-14:30 Zoom seminar hosted by ICMS
First-order homogeneous Hamiltonian operators play a central role in the Hamiltonian formulation of quasilinear systems of PDEs. They have well-known differential-geometric invariance properties which find application in the theory of Frobenius manifolds. In this talk we will show that second and third order homogeneous Hamiltonian operators are invariant under reciprocal transformations of projective type, thus allowing for a projective classification of the operators in low dimensions. Then, we will describe how the above operators generate known and new integrable systems, and discuss the invariance properties of the systems under projective transformations.
For more information, and how to access the seminar through Zoom, see the webpage of the events here.