Colloquium
3:30 p.m., Friday
Math 100
Dale Rolfsen
UBC
Do you want to be a mathematical millionaire?
The Poincare conjecture
Last May in Paris, the Clay Institute announced $1,000,000
prizes for each of seven ``Millenium problems" of mathematics. This is the
first in a series (by different speakers) to discuss these problems in a
way that is hopefully accessible to the rest of us.
The Poincare conjecture is a century old, and a solution seems as far
away as ever. The conjecture  deceptively simple to state  is that
the 3sphere is the only simplyconnected closed 3dimensional
manifold. I will explain all these terms, some of the conjecture's
fascinating history, partial results, and its importance in the program of
classification of 3manifolds and understanding the possible shapes of our
universe.
