Long-time behavior of Ricci flow

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.