# Mathematics Colloquia and Seminars

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### Stein property of complex-hyperbolic manifolds

**Geometry/Topology**

Speaker: | Subhadip Dey, UC Davis |

Location: | (Online) Zoom |

Start time: | Tue, Apr 28 2020, 1:40PM |

Let M be a complex-hyperbolic n-manifold, i.e. a quotient of the complex-hyperbolic n-space $\mathbb{H}^n_\mathbb{C}$ by a torsion-free discrete group of isometries $\Gamma$. Suppose that M is convex-cocompact, i.e. the convex core of M is a nonempty compact subset. In this talk, we will discuss a sufficient condition on $\Gamma$ in terms of the growth-rate of its orbits in $\mathbb{H}^n_\mathbb{C}$ for which M is a Stein manifold. We will also talk about some interesting questions related to this result. This talk is based on a joint work with my advisor Misha Kapovich.

Zoom Meeting ID: 120-952-219