Title: 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.