- Series
- Geometry Topology Working Seminar
- Time
- Friday, September 21, 2018 - 2:00pm for 1.5 hours (actually 80 minutes)
- Location
- Skiles 006
- Speaker
- Peter Lambert-Cole – Georgia Insitute of Technology
- Organizer
- Peter Lambert-cole
The Oka-Grauert principle is one of the first examples of an
h-principle. It states that for a Stein domain X and a complex Lie
group G, the topological and holomorphic classifications of principal
G-bundles over X agree. In particular, a complex vector bundle over X
has a holomorphic trivialization if and only if it has a continuous
trivialization. In these talks, we will discuss the complex geometry of
Stein domains, including various characterizations of Stein domains,
the classical Theorems A and B, and the Oka-Grauert principle.