18 February 2016, 16:00 - 17:00, in HG00.310
Marco Zambon
(KU Leuven)
Deformations of coisotropic submanifolds in symplectic geometry
Lagrangian submanifolds are a well understood class of submanifolds of symplectic manifolds, and their deformations (modulo hamiltonian diffeomorphisms) are governed by the De Rham chain complex. Coisotropic submanifolds include the lagrangian ones as special cases, and their deformation theory turns out to be governed by L-infinity algebras, by the work of Oh-Park in 2003. After reviewing this notion, I will sketch some results obtained with Florian Schätz about equivalences of deformations and coisotropic deformations in Poisson manifolds.