Description
Geometry and Topology seminar
9th November, 4:00 PM
Room 215
Title. Shafarevich question on the universal covering of a smooth
projective variety, and it's applications.
Speaker. R.V. Gurjar
Abstract. I. Shafarevich has raised the following very general question.
'Is the universal covering space of every smooth connected projective
variety holomorphically convex ?'
This is a generalization of the famous Uniformization Theorem for Riemann
Surfaces. We will discuss some applications of a positive solution of the
Sharafevich question, viz. A conjecture of Madhav Nori is true, and the
second homotopy group of a connected smooth projective surface is a free
abelian group.
We will also mention positive solutions for the Shafarevich question in
several interesting cases.