The first geometry seminar of term will be given by Husuan-Yi Liao (Penn State). The talk will take place at 1.30pm on 19th September, in the Salle de Profs (9th floor of building NO). His title is *“Formality theorem for Lie pairs”* and his abstract is below.

We establish a formality theorem for Lie pair, i.e. a Lie algebroid with a Lie subalgebroid, which contains various geometrical situations such as g-manifolds, complex manifolds, and regular foliations. In this talk, I’ll start with a review of the classical deformation quantization problem and Kontsevich formality theorem. After that, I’ll talk about the formality theorem for g-manifold, i.e., a smooth manifold with a Lie algebra action. The analogous theorems for Lie pairs and other geometrical situations will be explained as well.