Speaker : Hsuan-Yi Liao (Penn. State University)
Title : Formality Theorem for Differential Graded Manifolds
Time : 2018-09-20 (Thu) 11:00 - 12:30
Place : Seminar Room 638, Institute of Mathematics (NTU Campus)
Abstract: Kontsevich established a formality theorem and applied it to solve the deformation quantization problem for Poisson manifolds. Following Kontsevich's method, we obtained a formality theorem for dg manifolds. As an application, we extended Duflo theorem in Lie theory to the context of dg manifolds. In this talk, I'll start with an introduction to L-infinity algebras, Kontsevich formality theorem and deformation quantization problem. After that, I plan to explain formality and Kontsevich-Dulfo theorem for dg manifolds.