Formality of P-objects

Andreas Hochenegger (Università degli Studi di Milano)

Wednesday 6th December, 2017 16:00-17:00 Maths 311B


An Calabi-Yau-object in a k-linear triangulated category is called a P-object, if its derived endomorphism ring is isomorphic to k[t]/t^n. 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.

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