Title: Geometry of Maurer-Cartan elements in complex manifolds

Speaker: Prof. Ping Xu (Penn State University and University of Luxembourg)

Time: December 28, 2010, 2:00-3:00 pm

Venue: Room 1328 at BICMR, Resource Palza, Peking University

Abstract: "Stacks of algebroids" in the sense of Kashiwara and Kontsevich are noncommutative deformations of complex manifolds, which replace sheaf of algebras by nonabelian gerbes.The semi-classical data attached to stacks of algebroids are solutions to a certain Maurer-Cartan equation. In this talk, we will discuss the underlying geometry of these Maurer-Cartan elements from the viewpoint of Poisson geometry. This is a joint work with Z. Chen and M. Stienon.