{"id":434,"date":"2006-07-27T18:53:34","date_gmt":"2006-07-27T22:53:34","guid":{"rendered":"http:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=434"},"modified":"2006-09-10T14:38:08","modified_gmt":"2006-09-10T18:38:08","slug":"latest-on-poincare-2","status":"publish","type":"post","link":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=434","title":{"rendered":"Latest on Poincare"},"content":{"rendered":"<p>A new 473-page paper by Gang Tian and my colleague John Morgan that gives a complete proof of the Poincare conjecture based upon the argument outlined by Grigori Perelman (which carries out the program of my other Columbia colleague Richard Hamilton) is now available as a preprint on the arXiv entitled <a href=\"http:\/\/www.arxiv.org\/abs\/math.DG\/0607607\">Ricci Flow and the Poincare Conjecture<\/a>. This paper is in the process of being refereed and should ultimately appear as a book in the monograph series that the Clay Math Institute publishes with the AMS.<\/p>\n<p>Morgan and Tian just provide a proof of Poincare, not the full geometrization conjecture. Other sources for worked out details of Perelman&#8217;s argument are the <a href=\"http:\/\/arxiv.org\/abs\/math.DG\/0605667\">notes by Kleiner and Lott<\/a>, and the recent paper by Cao-Zhu that appeared in the Asian Journal of Mathematics. Cao-Zhu provide fewer details than Morgan-Tian, but do give a proof of geometrization. Until very recently the Cao-Zhu paper was only available in the paper version of the journal, for sale by International Press for $69.00. Yesterday the journal put the full paper on-line, and it&#8217;s available <a href=\"http:\/\/www.intlpress.com\/AJM\/p\/2006\/10_2\/AJM-10-2-165-492-Abstract.php\">here<\/a>.<\/p>\n<p>Latest rumor I hear is that the Fields Medal committee has definitely chosen Perelman as a Fields medalist, with the appearance of these detailed proofs using his arguments clinching the deal. However it remains unclear whether he&#8217;ll show up in Madrid, or even actually accept the honor being offered him.<\/p>\n<p><strong>Update<\/strong>: There&#8217;s an <a href=\"http:\/\/www.nature.com\/nature\/journal\/v442\/n7102\/full\/422490a.html\">article<\/a> about this in this week&#8217;s Nature.<\/p>\n<p><strong>Update<\/strong>:  The September issue of the Notices of the AMS has an excellent <a href=\"http:\/\/www.ams.org\/notices\/200608\/comm-perelman.pdf\">article<\/a> by Allyn Jackson about this. Next week&#8217;s Science Times is supposed to have an article by Dennis Overbye.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A new 473-page paper by Gang Tian and my colleague John Morgan that gives a complete proof of the Poincare conjecture based upon the argument outlined by Grigori Perelman (which carries out the program of my other Columbia colleague Richard &hellip; <a href=\"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=434\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-434","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/434","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=434"}],"version-history":[{"count":0,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/434\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=434"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=434"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=434"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}