Stein property of the complex-hyperbolic manifolds

Geometry & Topology
Event time: 
Tuesday, December 8, 2020 - 4:00pm
Subhadip Dey
Speaker affiliation: 
Yale University
Event description: 

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, $\Gamma = \pi_1(M)$. Suppose that $M$ is {\em 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 is a joint work with Misha Kapovich.

Special note: 
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