Tuesday, April 20, 14:00
Andreas Hochenegger (Milan), Formality of ℙ-objects.
An Calabi-Yau-object in a k-linear triangulated category is called a
ℙ-object, if its derived endomorphism ring is isomorphic to
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
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.