{"id":344,"date":"2006-02-08T21:06:35","date_gmt":"2006-02-09T02:06:35","guid":{"rendered":"http:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=344"},"modified":"2006-03-06T22:52:19","modified_gmt":"2006-03-07T03:52:19","slug":"a-survey-of-elliptic-cohomology","status":"publish","type":"post","link":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=344","title":{"rendered":"A Survey of Elliptic Cohomology"},"content":{"rendered":"<p>There&#8217;s a beautiful <a href=\"http:\/\/www.math.harvard.edu\/~lurie\/papers\/survey.pdf\">survey paper about elliptic cohomology<\/a> that Jacob Lurie, an AIM 5-year fellow in the math department at Harvard, has recently put on his <a href=\"http:\/\/www.math.harvard.edu\/~lurie\/\">home page<\/a>.  This paper has been discussed a bit already by <a href=\"http:\/\/www.dcorfield.pwp.blueyonder.co.uk\/blog.html\">David Corfield<\/a> and by <a href=\"http:\/\/golem.ph.utexas.edu\/string\/archives\/000741.html\">Urs Schrieber<\/a>.<\/p>\n<p>I don&#8217;t have time right now to try and write up something comprehensible about those parts of the elliptic cohomology story that I kind of understand, and in any case I want to spend more time reading Lurie&#8217;s paper.  It brings into the elliptic cohomology story several of my favorite pieces of mathematics (Atiyah-Segal completion, Freed-Hopkins-Teleman), in a way that I don&#8217;t yet understand.  But in any case there&#8217;s a lot of very beautiful and very new mathematics in this paper, mathematics that has tantalizing relations to quantum field theory.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>There&#8217;s a beautiful survey paper about elliptic cohomology that Jacob Lurie, an AIM 5-year fellow in the math department at Harvard, has recently put on his home page. This paper has been discussed a bit already by David Corfield and &hellip; <a href=\"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=344\">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_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":"","jetpack_post_was_ever_published":false},"categories":[1],"tags":[],"class_list":["post-344","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\/344","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=344"}],"version-history":[{"count":0,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/344\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=344"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=344"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=344"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}