A twist on ring morphisms (and crepant contractions)
Marina Godinho (University of Glasgow)
Wednesday 12th March 16:00-17:00 Maths 311B
Abstract
A ring morphism p: A -> B satisfying certain mild assumptions induces a derived endomorphism of A and a derived endomorphism of B, which are closely related. In fact, the derived endomorphism of A is the twist around a certain functor, and the derived endomorphism of B is the corresponding cotwist. In this talk, I will introduce this and discuss "smoothness" and "spherical" criteria under which these endomorphisms are autoequivalences. This technology can be used to construct new derived autoequivalences for very singular varieties.
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