Dima Panov (Kings College London) will speak in the geometry seminar on Tuesday 6th Feb. Dima’s title is “Circle invariant symplectic hypersurfaces in dimension 6 and the Fano condition” and his abstract is below. The talk will take place at 1.30pm in the Salle des Profs (9th floor of building NO).
This talk is based on a joint work with Nick Lindsay. A compact symplectic manifold (M,w) is called Fano if the classes c1(M) and [w] coincide in H^2(M). We prove that any symplectic Fano 6-manifold M with a Hamiltonian S1-action is simply connected and satisfies c1c2(M)=24. This is done by showing that the fixed submanifold of M on which the Hamiltonian attains its minimum is diffeomorphic to either a del Pezzo surface, a 2-sphere or a point.