Mini-course: Lie Groupoid C*-algebras and Applications to Twisted Index Theory (4 Lectures)

Bai-ling Wang 王百灵  (Australian National University)

14:00-16:00, April 9-12, 2018   Science Building A1510


In this lecture series, I will give an elementary introduction to differential geometry of Lie groupoids, groupoids $C^\ast$-algebras, pseudo-differential calculus and index theory on Lie groupoids. As an application, I will discuss joint work with Paulo Carrillo Rouse on the geometric twisted $K$-homology groups and the geometric assembly maps for twisted Lie groupoids (twisted differentiable stacks).

About the speaker:

王百灵,澳大利亚国立大学教授,研究范围广泛,专长群胚以及奇异空间上$C^\ast$-代数和指标理论,twisted $K$-理论,规范理论和低维拓扑,辛几何与拓扑。近期论文在《Advances in Mathematics》,《Annales Scientifiques de l'Ecole Normale Superieure》,《Journal of Differential Geometry》,《Journal of K-theory》等著名期刊发表。