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Long-time behavior of Ricci flow
Colloquium| Speaker: | John Lott, University of Michigan |
| Location: | 1147 MSB |
| Start time: | Tue, Oct 30 2007, 4:10PM |
Description
Perelman proved Thurston's geometrization conjecture using
Hamilton's Ricci flow. The first part of the talk will be an introduction
to this work. Perelman gave enough information about the long-time
behavior of a 3-dimensional Ricci flow to prove the validity of Thurston's
geometric decomposition. However, it is not known whether Ricci flow
performs the decomposition for you, i.e. whether as time passes one sees
the various geometries appearing. I will give some results in this
direction.