How do we use Riemannian Geometry and Surgery Theory to crack a million-dollar problem in topology? Ricci flow, that's how. In this video, we tackle the only Millennium Prize Problem that's been solved so far, and find the deep mathematics uncovered in the process.

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Official Problem Statement:

https://www.claymath.org/millennium-p...

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Music Info: Documentary - AShamaluevMusic.
Music Link: https://www.ashamaluevmusic.com

Intro: (0:00)
Poincare Conjecture: (0:45)
Riemannian Geometry: (2:31)
Ricci Flow: (4:17)
Surgery Theory: (7:10)
Proof of Poincare Conjecture: (7:26)