Seminar

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 - 15:30
Place:  Online - zoom.us/j/96739216821?pwd=UDhPYlNzM0M3dXFHUnJRSW92enl1dz09

Abstract:
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.