abstract: These four lectures will survey Perelman's work on Thurston's geometrization conjecture.
A very rough division of the topics is as follows:
LECTURE I: Thurston's geometrization conjecture
LECTURE II: Survey of Hamiltons's results on Ricci flow
LECTURES III and IV: Perelman's work: Entropy functional, proof of non-collapse and no-cigar theorems, structure of blow-up limits, canonical neighborhood theorem, Ricci flow with surgery, long-time behavior of Ricci flow with surgery.
Some of II may come in I, and similarly III in II.