The Geometrization conjecture crystallized our picture of individual 3-manifolds more than 30 years ago, and Perelman’s beautiful proof established it in generality about 7 years ago, but mystery is still abundant. 22 more words
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A survey of the geometrization conjecture: its impact, methods for solution, and problems still open.
Here we have a pdf file with the talk of the video: 7 more words
In order to motivate the lengthy and detailed analysis of Ricci flow that will occupy the rest of this course, I will spend this lecture giving a high-level overview of Perelman’s Ricci flow-based proof of the… 4,026 more words