讲座内容简介：

Connes-Kasparov conjecture is about the computation about the K-theory of the reduced group C*-algebra of reductive Lie group, which is a special case for the famous Baum-Connes conjecture in non-commutative geometry. In this talk, I will focus on the special example of SL(2, R). I will briefly talk about the history of the conjecture and its application to representation theory, index theory etc. In particular, I discuss the structure of the group C*algebra up to Morita equivalence and Dirac operators on symmetric spaces.

讲座人简介：

宋言理，美国Washington University in St. Loius数学与统计系副教授，于2013年在美国宾州州立大获得博士学位，研究领域是指标理论与非交换几何，曾在加拿大多伦多大学工作，并在Duke Math. J.、Adv. Math.、 Math. Ann.、TAMS、J. Funct. Anal.等期刊发表20余篇学术论文。