Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Shi Wang
Affiliation:

MPIM
Date:

Thu, 07/01/2021 - 16:30 - 18:00 In this talk, I will present recent joint work with Beibei Liu. Let X be a simply connected, pinched negatively curved manifold, G be a finitely generated, torsion free, discrete subgroup of Isom(X). The critical exponent \delta(G) is defined to be the exponential growth rate of the number of G-orbit points inside a ball in X with respect to the radius. We show that if the critical exponent of G is small enough, then G is convex cocompact.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3050