Operator algebras conference in memory of Étienne Blanchard

The Baum-Connes conjecture and Oka's principle

8 avr. 2019, 15:15

50m

Bâtiment Sophie Germain, Amphi Turing (Université Paris Diderot)

Abstract

Orateur

Maria Gomez-Aparicio (Univ. Paris-Sud)

Description

The Baum-Connes conjecture with coefficients is still open for higher rank Lie groups as this groups satisfy a variant of Lafforgue's Strong property (T) which prevents one to apply the methods that have been used so far to prove the conjecture. Nonetheless, a direction that is still open concerns applying the ideas of Bost, who defined a version of Oka principle in Noncommutative Geometry. In this talk, I will give a short survey on the conjecture and I will explain the statement linking it to Oka's principle.