Applications of noncommutative deformations

Abstract

For a general class of contractions of a variety X to a base Y, I discuss recent joint work with M. Wemyss defining a noncommutative enhancement of the locus in Y over which the contraction is not an isomorphism, along with applications to the derived symmetries of X. This note is based on a talk given at the Kinosaki Symposium in 2016.

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