Andreas Hochenegger (U Milano), Formality of ℙ-objects.

Abstract:

An Calabi-Yau-object in a

They were first studied by Daniel Huybrechts and Richard Thomas as generalisations of spherical objects. Similar to the spherical case, ℙ-objects induce autoequivalences which are called ℙ-twists.

Recently, Ed Segal showed how an arbitrary autoequivalence can be written as a spherical functor. For a ℙ-twist, he needs the assumption that the endomorphism ring of the ℙ-object is formal. In this talk, I will introduce the concept of formality and present a proof of the formality of configurations of ℙ-objects.

This is based on a joint work with Andreas Krug.