EVENT DETAILS AND ABSTRACT

Title: Weak Calabi-Yau structures and moduli of representations
Speaker: Wai Kit Yeung
Speaker Info: Indiana University
Brief Description:
Special Note:
Abstract:

In this talk, I will explain some basic notions and constructions in formal noncommutative algebraic geometry. In particular, I will explain how a Calabi-Yau structure on a DG category could be viewed as a noncommutative analogue of a (shifted) symplectic structure. Under this analogy, the noncommutative analogue of a (shifted) Poisson structure would be a weak Calabi-Yau structure, a notion introduced by Kontsevich and Vlassopoulos. I will explain how a Calabi-Yau structure on a DG category induces a (shifted) symplectic structure on its moduli space of representations; and how a weak Calabi-Yau structure induces a (shifted) Poisson structure on this moduli space.