YouTube home Comedy Week on YouTube
Upload

One Geometry

Stephen Sawin Stephen Sawin·10 videos
32
42,095
Like     Dislike 23

Sign in to YouTube

Sign in with your Google Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to like Stephen Sawin's video.

Sign in to YouTube

Sign in with your Google Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to dislike Stephen Sawin's video.

Sign in to YouTube

Sign in with your Google Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to add Stephen Sawin's video to your playlist.

Uploaded on Dec 4, 2007

Perelman's proof of the Poincare conjecture to the tune of Snoop Dogg and Pharrell William's "Drop it Like it's Hot"
Lyrics: http://cs.fairfield.edu/~sawin/Rap/pe...
videography:Lisa Sawin
sound engineer:Oliver Sawin
Artist/Author:Steve Sawin

Loading icon Loading...

Loading icon Loading...

Loading icon Loading...

The interactive transcript could not be loaded.

Loading icon Loading...

Loading icon Loading...

Ratings have been disabled for this video.
Rating is available when the video has been rented.
This feature is not available right now. Please try again later.

Uploader Comments (Stephen Sawin)

  • Headkiller

    what does he mean with there is no topology?

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Headkiller's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Headkiller's comment.
  • Stephen Sawin

    I mean that if every loop contracts it is the simplest manifold, which is the sphere. Informally, because it is the simplest shape, I say it has no topology.

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Stephen Sawin's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Stephen Sawin's comment.
    in reply to Headkiller (Show the comment)
  • boobah1067

    I have a question: entropy comes from taking these point-spheres of Poincare-Perelman and turning them into a true zero, not anymore a point still existing as a mini sphere (point)?

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate boobah1067's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate boobah1067's comment.
  • Stephen Sawin

    Here is my best shot at an answer, with the caveat that you are going beyond my comfort zone. The Ricci curvature equation can be thought very loosely as changing the geometry of the shape slowly the way blowing up a balloon changes its geometry. Very, very loosely, the appearance of singularities corresponds to a region being stretched so much it bursts. If this happens only finitely many times, you can finish the proof.

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Stephen Sawin's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Stephen Sawin's comment.
    in reply to boobah1067 (Show the comment)
  • Stephen Sawin

    continuing! Because you can reconstruct the original manifold. Entropy just allows you to control that. It increases (or decreases?) during the blowing up and the replacing, and I believe you can show if it is big (small?) enough these singularities cannot arise, so you get finitely many. Perelman also controls what kind of singularities can occur and how.

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Stephen Sawin's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Stephen Sawin's comment.
    in reply to boobah1067 (Show the comment)

Top Comments

  • feministbabe

    rapping + mathematic proofs = best thing ever

    · 12

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate feministbabe's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate feministbabe's comment.
  • AndrewMarcell

    I laughed out loud :)

    Rock on with your bad self! When your Ricci flow stops at one geometry, one geometry, one geometry... if every loop contracts there's no topology, no topology, no topology!

    Good times :)

    I still don't get the Poincare conjecture though.

    · 2

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate AndrewMarcell's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate AndrewMarcell's comment.

All Comments (74)

Sign in now to post a comment!
  • Lolly Paige

    How could anyone in the Universe give this a thumbs down?

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Lolly Paige's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Lolly Paige's comment.
  • Gustavo Fernandez

    So let me get this. You are a white dude mathematician who is trying to rap about Poincare..wtf

    This world is upside down.

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Gustavo Fernandez's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Gustavo Fernandez's comment.
  • Maxime Bergeron

    This needs a higher res version with animations in the background. Throw in a couple of dancing bitches or something.

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Maxime Bergeron's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Maxime Bergeron's comment.
  • Maxime Bergeron

    WHATTTT

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Maxime Bergeron's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Maxime Bergeron's comment.
  • Gagerivas

    Gay shit

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Gagerivas's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate Gagerivas's comment.
  • snow carlson

    i got here by the annoying orange and it said it wouldent disapoint me...THATS A LIE!

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate snow carlson's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate snow carlson's comment.
  • yellowlght

    If you only knew how tough Ricci equations are even for the fully initiated mathematicians u wouldn't be rapping like that - Perelman is a genius as are his colleagues at the institute were he works. Not even the best mathematicians in the US tackle & solve the problems these Russians do -

    ·

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate yellowlght's comment.

    Sign in to YouTube

    Sign in with your YouTube Account (YouTube, Google+, Gmail, Orkut, Picasa, or Chrome) to rate yellowlght's comment.
  • Loading comment...
Loading...
Loading...
Working...
Sign in to add this to Watch Later