Title: THE CYCLIC HOMOLOGY OF FUKAYA CATEGORIE AND THE LINEARIZED CONTACT HOMOLOGY

Speaker: Prof. Sun Shanzhong，Capital Normal University, Beijing

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

Time: April 19, 2012, Thursday, 2:30-4:30 pm

Abstract: After the introduction of the basic notions (A-infinity algebras and categories, Hochschild homology and cyclic homology) and overview of Fukaya category and linearized contact homology, I will present the Lie bialgebra structure on the Fukaya category and the Lie bialgebra homomorphism from it to that of the linearized contact homology. This is based on joint work with Xiaojun Chen (Sichuan University) and Hailong Her (Nanjing Normal University).