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Department of Mathematics,
University of California San Diego

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Algebraic Geometry Seminar

Alexander Perry

Columbia University

Deformation and derived equivalent but non-birational Calabi-Yau threefolds

Abstract:

I will construct a pair of Calabi-Yau threefolds which are deformation and derived equivalent, but not birationally equivalent. I will explain how this gives a counterexample to the birational Torelli problem for Calabi-Yau threefolds, as well as new examples of zero divisors in the Grothendieck ring of varieties. This is joint work with Lev Borisov and Andrei Caldararu.

Host: David Stapleton

May 25, 2018

2:30 PM

AP&M 5829

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