Comments on: 285G, Lecture 19: The structure of Ricci flow at the singular time, surgery, and the Poincaré conjecture http://terrytao.wordpress.com/2008/06/06/285g-lecture-19-the-structure-of-ricci-flow-at-the-singular-time-surgery-and-the-poincare-conjecture/ Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao Thu, 18 Mar 2010 13:48:44 +0000 http://wordpress.com/ hourly 1 By: Serge http://terrytao.wordpress.com/2008/06/06/285g-lecture-19-the-structure-of-ricci-flow-at-the-singular-time-surgery-and-the-poincare-conjecture/#comment-30551 Serge Sun, 22 Jun 2008 05:39:19 +0000 http://terrytao.wordpress.com/?p=407#comment-30551 Would be great to have it in the single file. I dropped off on the second lecture, but have vague intention to read it in some future "then I have more free time" :). Anyway I think there are many people who would like to see it as a file or e-book. Thanks for great blog. Would be great to have it in the single file. I dropped off on the second lecture, but have vague intention to read it in some future “then I have more free time” :). Anyway I think there are many people who would like to see it as a file or e-book. Thanks for great blog.

]]> By: Terence Tao http://terrytao.wordpress.com/2008/06/06/285g-lecture-19-the-structure-of-ricci-flow-at-the-singular-time-surgery-and-the-poincare-conjecture/#comment-30404 Terence Tao Tue, 17 Jun 2008 01:03:21 +0000 http://terrytao.wordpress.com/?p=407#comment-30404 Thanks for the correction! Thanks for the correction!

]]> By: Américo Tavares http://terrytao.wordpress.com/2008/06/06/285g-lecture-19-the-structure-of-ricci-flow-at-the-singular-time-surgery-and-the-poincare-conjecture/#comment-30399 Américo Tavares Mon, 16 Jun 2008 22:53:53 +0000 http://terrytao.wordpress.com/?p=407#comment-30399 Correction in LaTeX-code in Remark 4: $latex R_{\min}$ instead of $latex R_{\min} Correction in LaTeX-code in Remark 4: R_{\min} instead of $latex R_{\min}

]]> By: Américo Tavares http://terrytao.wordpress.com/2008/06/06/285g-lecture-19-the-structure-of-ricci-flow-at-the-singular-time-surgery-and-the-poincare-conjecture/#comment-30345 Américo Tavares Sat, 14 Jun 2008 16:18:16 +0000 http://terrytao.wordpress.com/?p=407#comment-30345 Dear Anonymous Regarding the Riemann Hypothesis, if you can read French you have <em>Giles Lachaud, Mathématiques, L'hypothèse de Riemann, Le Graal des mathématiciens, Les Dossiers de La Recherche, Nº 20, Aôut 2005, Nouveaux défits et vieux casse-tête, pp.26-35</em>. <a href="http://www.larecherche.fr/store/window/ViewWindow?id=37" rel="nofollow">http://www.larecherche.fr/store/window/ViewWindow?id=37.</a> The same issue <a href="http://www.larecherche.fr/store/system/media/DLR20-Maths.gif" rel="nofollow">http://www.larecherche.fr/store/system/media/DLR20-Maths.gif</a> also covers the Poincare Conjecture, <em>Emily Singer, La conjecture de Poincaré: le très discrete Grisha Perelman, pp. 14-18</em>. Dear Anonymous
Regarding the Riemann Hypothesis, if you can read French you have Giles Lachaud, Mathématiques, L’hypothèse de Riemann, Le Graal des mathématiciens, Les Dossiers de La Recherche, Nº 20, Aôut 2005, Nouveaux défits et vieux casse-tête, pp.26-35. http://www.larecherche.fr/store/window/ViewWindow?id=37.

The same issue http://www.larecherche.fr/store/system/media/DLR20-Maths.gif also covers the Poincare Conjecture, Emily Singer, La conjecture de Poincaré: le très discrete Grisha Perelman, pp. 14-18.

]]> By: Anonymous http://terrytao.wordpress.com/2008/06/06/285g-lecture-19-the-structure-of-ricci-flow-at-the-singular-time-surgery-and-the-poincare-conjecture/#comment-30327 Anonymous Fri, 13 Jun 2008 13:43:57 +0000 http://terrytao.wordpress.com/?p=407#comment-30327 There are two very nice books on the Poincare conjecture, written for general audience: 1) The Poincare Conjecture: In Search of the Shape of the Universe by Donal O'Shea 2) Poincare's Prize: The Hundred-Year Quest to Solve One of Math's Greatest Puzzles by George G. Szpiro You don't have to read the entire books to understand (or have an idea of) what the conjecture claims. If I remember correctly, I like O'Shea better since its first chapter gives a better explanation (in my opinion). It is somewhat lengthy and first may seem unrelated to mathematics (he recounts the early days of navigation), but he really gets to the point. I am quite certain these books will be in your local public library, or else just go to Barnes and Noble, or Borders. There are two very nice books on the Poincare conjecture, written for general audience:

1) The Poincare Conjecture: In Search of the Shape of the Universe by Donal O’Shea

2) Poincare’s Prize: The Hundred-Year Quest to Solve One of Math’s Greatest Puzzles by George G. Szpiro

You don’t have to read the entire books to understand (or have an idea of) what the conjecture claims. If I remember correctly, I like O’Shea better since its first chapter gives a better explanation (in my opinion). It is somewhat lengthy and first may seem unrelated to mathematics (he recounts the early days of navigation), but he really gets to the point.

I am quite certain these books will be in your local public library, or else just go to Barnes and Noble, or Borders.

]]> By: Anonymous http://terrytao.wordpress.com/2008/06/06/285g-lecture-19-the-structure-of-ricci-flow-at-the-singular-time-surgery-and-the-poincare-conjecture/#comment-30325 Anonymous Fri, 13 Jun 2008 08:44:56 +0000 http://terrytao.wordpress.com/?p=407#comment-30325 iam a student going to join college please do explain the riemann hypothesis and the poincare conjecture(only the problems and not the solutions) in a simple layman language. please treate me as a novice. these may be needed in my interview iam a student going to join college please do explain the riemann hypothesis and the poincare conjecture(only the problems and not the solutions) in a simple layman language. please treate me as a novice. these may be needed in my interview

]]> By: Anonymous http://terrytao.wordpress.com/2008/06/06/285g-lecture-19-the-structure-of-ricci-flow-at-the-singular-time-surgery-and-the-poincare-conjecture/#comment-30316 Anonymous Thu, 12 Jun 2008 08:39:24 +0000 http://terrytao.wordpress.com/?p=407#comment-30316 Thank you! These are great even though I didn't understand them. The amount of work needed to write the lectures must have been incredible! Thank you! These are great even though I didn’t understand them. The amount of work needed to write the lectures must have been incredible!

]]> By: Gil Kalai http://terrytao.wordpress.com/2008/06/06/285g-lecture-19-the-structure-of-ricci-flow-at-the-singular-time-surgery-and-the-poincare-conjecture/#comment-30288 Gil Kalai Mon, 09 Jun 2008 18:27:18 +0000 http://terrytao.wordpress.com/?p=407#comment-30288 Hear, hear! Hear, hear!

]]> By: John Sidles http://terrytao.wordpress.com/2008/06/06/285g-lecture-19-the-structure-of-ricci-flow-at-the-singular-time-surgery-and-the-poincare-conjecture/#comment-30286 John Sidles Mon, 09 Jun 2008 16:00:31 +0000 http://terrytao.wordpress.com/?p=407#comment-30286 Please accept the thanks of us in your audience (both in-person and on the web) for this outstanding series of lectures. The theorems proved are of course historic and inspiring ... and equally inspiring is the mathematical tool-set that is on-display in these lectures, and the creative style with which that tool-set is deployed. The mathematics of these lectures surely is not the conclusion, but instead comprises a few very early chapters, of what will be an immensely long & hugely exciting adventure. Thank you very much for introducing so many of us to this adventure. Please accept the thanks of us in your audience (both in-person and on the web) for this outstanding series of lectures.

The theorems proved are of course historic and inspiring … and equally inspiring is the mathematical tool-set that is on-display in these lectures, and the creative style with which that tool-set is deployed.

The mathematics of these lectures surely is not the conclusion, but instead comprises a few very early chapters, of what will be an immensely long & hugely exciting adventure.

Thank you very much for introducing so many of us to this adventure.

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