# Znanstveni kolokviji

## The uniformization problem for Stein manifolds

 Vrijeme: 5.5.200417:00 Predavaonica: 005 Predavač: Prof. dr. Franc Forstneric, University of Ljubljana Naziv: The uniformization problem for Stein manifolds Opis: A Stein manifold is a complex manifold which admits a proper holomorphic embedding into a complex Euclidean space. Examples include open Riemann surfaces and domains of holomorphy over $C^n$. Every n-dimensional Stein manifold admits a holomorphic immersion into $C^k$ with $k=[3n/2]$, but in general not to a lower dimensional space. In this talk I will discuss progress on the following outstanding classical problem: Does every n-dimensional Stein manifold with trivial tangent bundle admit a holomorphic immersion to $C^n$ ?

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