## Geometry Seminar - Abstracts

### Talk

Thursday 2 February 2017, 16:00 - 17:00 in HG03.085

**Kang Li** (Universität Münster)

*The orbit method for the Baum-Connes conjecture*

### Abstract

The orbit method for the Baum-Connes conjecture was first developed by
Chabert and Echterhoff in the study of permanence properties for the
Baum-Connes conjecture. Together with Nest they were able to apply the
orbit method to verify the conjecture for almost connected groups and
p-adic groups.

In this talk, we will discuss how to prove the
Baum-Connes conjecture for linear algebraic groups over local fields
of positive characteristic along the same idea. It turns out that the
unitary representation theory of unipotent groups plays an essential
role in the proof. As an example, we will concentrate on the Jacobi
group, which is the semi-direct product of the symplectic group with
the Heisenberg group. It is well-known that the Jacobi group has
Kazhdans property (T), which is an obstacle to prove the Baum-Connes
conjecture.

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