Title: Atiyah classes, derived geometry and infinity algebras

Speaker: Mathieu Stienon and Ping Xu

Venue: Room 09 at Quan-Zhai (全斋), New location for BICMR, Peking University

Time: May 3nd, 2012, Friday, 3:30-5:30 pm

Abstract: The Atiyah class of a holomorphic vector bundle $E$ over a complex manifold $X$ constitutes the obstruction to the existence of a holomorphic connection on said holomorphic vector bundle. Atiyah classes have enjoyed renewed vigor due to Kontsevich's seminal work on deformation quantization. Kontsevich revealed the existence of deep ties between the Todd genus of complex manifolds and the Duflo element in Lie theory. Atiyah classes are also related to Rozansky-Witten theory, which proposed a construction of a family of new 3-dimensional topological quantum field theories indexed by compact hyper-K"ahler manifolds. In this talk, we give an introduction to the classical Atiyah class and its generalization.