An exercise in homological projective duality: pencils of cubic fourfolds

John Calabrese, Rice University

The derived category of a cubic fourfold can be chopped up into a "K3" bit and other trivial bits. In special cases, this K3 part comes from an actual K3 surface. Using theory developed by Kuznetsov, I'll describe a new equivalence of derived categories of Calabi-Yau threefolds arising from pencils of cubic fourfolds. This is joint work with Richard Thomas from Imperial College.

Tuesday, September 17th, at 11:00am in GRB W211

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