Título: Seminar: Poisson geometry and integrables systems in infinite-dimensions

Palestrante: Alice Barbara Tumpach (Univ. de Lille-França)

Resumo: This talk is an introduction to Poisson geometry in the 
Banach and Fréchet framework. We will highlight the peculiarities of 
the infinite-dimensional context, such as the existence of "queer" 
Poisson brackets, i.e. brackets that are not given by a bivector 
field, or the absence of a canonical form for symplectic forms. We 
will explain the notions that are central when working in infinite 
dimensions, and present our work on Banach-Poisson Lie groups and 
integrable systems. The need to construct Poisson Hamiltonian 
integrators to numerically solve PDEs arising from hydrodynamics is a 
new field of applications.