Geometric Mechanics and Control Seminar
Hamiltonian formalism for PDEs: geometric aspects and integrability
Speaker: Raffaele Vitolo (Università del Salento, Italia)Date: Friday, 23 April 2021 - 15:30Place: Online - zoom.us/j/96739216821?pwd=UDhPYlNzM0M3dXFHUnJRSW92enl1dz09
The Hamiltonian formalism for PDEs was developed since the end of the Sixties; studying integrability in the infinite-dimensional setting was the main motivation. A differential-geometric approach to this topic was proposed by Dubrovin and Novikov in 1983. We will make an introductory talk to this theory as well as a survey of recent results that show that, unexpectedly, projective geometry also plays a fundamental role.