Algebraic Geometry Seminar: "Cohomology of Hyperkaehler manifolds"

Abstract: The hyperkaehler manifolds are important building blocks in algebraic geometry. They are higher dimensional analogues of K3 surfaces, in the sense that their second cohomology controls their geometry (cf. Torelli theorem). In this talk, I will discuss the extent to which the second cohomology controls the higher cohomology of hyperkaher manifolds. As a consequence, I will present a conjectural bound on the second Betti numbers for hyperkahler’s. This is joint with M. Green, YJ Kim, and C. Robles

Host: Matt Kerr