EVENT DETAILS AND ABSTRACT

Title: Calabi-Yau categories and their deformation theory (Zoom talk)
Speaker: Chris Brav
Speaker Info: HSE, Moscow
Brief Description:
Special Note:
Abstract:

We review the notion of relative Calabi-Yau structure on a dg functor (a non-commutative analogue of an oriented manifold with boundary introduced in joint work with Toby Dyckerhoff), explain how the Lie algebra of its automorphism group is a chain-level generalisation of the string Lie algebra of Chas-Sullivan and the necklace Lie algebra of Kontsevich. We discuss some examples and applications to the moduli space of objects in a dg category equipped with a relative Calabi-Yau structure. This is joint work Nick Rozenblyum.