14 may 2024 -- 15:00
Geometry in Como (hybrid)
Abstract.
Locally conformally symplectic structures (lcs) generalise symplectic manifolds by studying closed non-degenerate 2-forms with value in a flat line bundle. In this talk, after introducing the subject and its relations with contact and symplectic geometry, I will talk about a construction of twisted product of lcs manifolds. This construction allows to relates fixed point of Hamiltonian diffeomorphisms to Lagrangian intersections (and this to relate the number of such fixed point to Novikov homology of the Lee class of the flat bundle). This is a joint work with Kevin Sackel.