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Colloquia

Hard Lefschetz and Hodge-Riemann for finite projective geometries

June Huh (Princeton)

Location:  HILL 705
Date & time: Friday, 08 December 2017 at 4:00PM - 5:00PM

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.