# Mathematical Sciences Research Institute

Home » MSRI Evans Lecture Series: "Symplectic aspects of Stein manifolds"

# Seminar

MSRI Evans Lecture Series: "Symplectic aspects of Stein manifolds" December 07, 2009
Parent Program: -- UC Berkeley
Speaker(s) Kai Cieliebak
Description No Description
Video
Stein manifolds are affine complex manifolds; their study has been a classical subject of complex analysis for the past century. The field took a surprising turn in the 1990ies when Y. Eliashberg used symplectic methods to achieve a topological characterization of Stein manifolds. Recent progress in symplectic topology has led to the discovery of exotic Stein structures on $C^n$. In the converse direction, work of S. Donaldson has exhibited Stein manifolds as the central building blocks for closed symplectic manifolds.