{"id":213,"date":"2005-06-29T18:37:25","date_gmt":"2005-06-29T22:37:25","guid":{"rendered":"http:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=213"},"modified":"2005-06-29T18:37:25","modified_gmt":"2005-06-29T22:37:25","slug":"latest-on-poincare","status":"publish","type":"post","link":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=213","title":{"rendered":"Latest on Poincare"},"content":{"rendered":"

The status of Perelman’s proof of the Poincare conjecture is still somewhat confusing. For some background see a previous posting<\/A> and a later follow-up<\/A>. Last week the ICTP in Trieste issued a press release entitled Poincare Conjecture Solved<\/A>, which states that Perelman’s proof “has been confirmed by an international group of mathematicians whose findings were presented to participants at a conference” at the ICTP. The conference<\/A> was a summer school, and the press release goes on to claim that “The 60 participants, more than half from the developing world, reaffirmed the approving judgement of the mathematicians.”<\/p>\n

If you look at the write-ups of the talks, the only relevant thing in print is in the lecture notes of Carlo Sinestrati<\/A> where he states “The details of the proof are still being checked by the experts in the field; however, the main ideas of the papers are by now widely understood.” So, it’s not clear who exactly is supposedly now willing to vouch for Perelman’s proof, and the comment that the students at the school “reaffirmed” that it is a proof is kind of silly, given the difficulties involved.<\/p>\n

There’s a month-long summer school<\/A> going on right now at MSRI in Berkeley, sponsored by the Clay Mathematics Institute. Many relevant materials are available at the web-site of the summer school. As far as I know, none of the experts there is yet quite willing to claim that a complete proof using Perelman’s techniques has been written down and checked, although they do seem to be getting close to this point.<\/p>\n","protected":false},"excerpt":{"rendered":"

The status of Perelman’s proof of the Poincare conjecture is still somewhat confusing. For some background see a previous posting and a later follow-up. Last week the ICTP in Trieste issued a press release entitled Poincare Conjecture Solved, which states … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"","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-213","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\/213","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=213"}],"version-history":[{"count":0,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/213\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=213"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=213"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=213"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}