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Discrete subgroups of small critical exponent

Posted in
Shi Wang
Thu, 2021-01-07 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.

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