Department of Mathematics
What is really going on with the Poincare conjecture?
Uwe Kaiser
Boise State University
About a year ago the Russian mathematician Grigori Perelman announced a proof of the Geometrization Conjecture. This is concerned with the existence of certain geometric structures on 3-dimensional manifolds. It is known that the Geometrization Conjecture implies the famous Poincare Conjecture, a central problem in topology, open since 1904, and one of the seven Clay Problems. In this talk I will explain the mathematical contents of the Geometrization and Poincare Conjecture, and some ideas of Perelman's approach.
All interested persons are welcome.