Come and listen to Hsuan-Yi Liao of Penn State University give his lecture: "Formality and Kontsevich-Duflo theorem for Lie pairs".
This presentation Laio will address the following: A Lie pair (L,A)(L,A) consists of a Lie algebroid LL together with a Lie subalgebroid AA . A wide range of geometric situations can be described in terms of Lie pairs including complex manifolds, foliations, and manifolds equipped with Lie algebra actions. We establish the formality theorem for Lie pairs. As an application, we obtain Kontsevich-Duflo type theorems for Lie pairs. In this talk, I'll start with the case of gg -manifolds, i.e., smooth manifolds equipped with Lie algebra actions. After that I'll explain formality theorem and Kontsevich-Duflo theorem for Lie pairs and other geometrical situations.