Recent Developments in the Baum-Connes Conjecture: Extensions, Rank One, and Relative Hyperbolicity

Shintaro Nishikawa (University of Southampton)

Thursday 2nd April 16:00-17:00
Maths 116

Abstract

The Baum-Connes conjecture is a central problem in noncommutative geometry, with deep connections to topology, operator algebras, and geometric group theory. After a brief introduction, I will survey several recent developments due to a number of researchers, including permanence questions for group extensions, progress for real rank-one Lie groups, and new results on strong bolicity for relatively hyperbolic groups. I will then conclude with a discussion of recent joint work with Nansen Petrosyan.

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