June Huh (Princeton University, USA)
Hard Lefschetz and Hodge-Riemann for finite projective geometries
Abstract: From any finite projective space, I will construct a ring that satisfies all the known properties of the cohomology ring of a smooth projective variety. I will indicate proofs of the hard Lefschetz theorem and the Hodge-Riemann relation in this context, and ask whether the ring is the cohomology ring of a geometric object.
Temas: