Duration: 32:59

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This will be a series of three lectures on Perelman's work, aimed at a general mathematical audience.  The first lecture will briefly review Thurston's conjecture and its consequences, and then go through an outline of Perelman's argument.  The second and third lectures will go into somewhat more detail, covering key points in the proof, such as the classification of finite time singularities, and (if time permits) Ricci flow with surgery.