{"id":317,"date":"2005-12-27T19:38:55","date_gmt":"2005-12-28T00:38:55","guid":{"rendered":"http:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=317"},"modified":"2006-01-23T13:08:18","modified_gmt":"2006-01-23T18:08:18","slug":"a-few-new-links","status":"publish","type":"post","link":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=317","title":{"rendered":"A Few New Links"},"content":{"rendered":"<p>Eckhard Meinrenken has been teaching a course at Toronto on <a href=\"http:\/\/www.math.toronto.edu\/mein\/teaching\/clifford.html\">Lie groups and Clifford algebras<\/a>, and he has <a href=\"http:\/\/www.math.toronto.edu\/mein\/teaching\/clif1.pdf\">lecture notes<\/a> available.  This is beautiful mathematics and brings together several of my favorite mathematical topics: Clifford algebras, spinors, and representation theory of Lie groups.  Some of this material is quite new, and very possibly has interesting applications in physics.<\/p>\n<p>Dennis Gaitsgory, a new young tenured member of the Harvard math department, has been teaching a course on <a href=\"http:\/\/www.math.harvard.edu\/~gaitsgde\/267y\/index.html\">Geometric Representation Theory<\/a>, and also has <a href=\"http:\/\/www.math.harvard.edu\/~gaitsgde\/267y\/catO.pdf\">lecture notes<\/a> available.  These explain the &#8220;D-module&#8221; point of view on the subject.<\/p>\n<p>My Columbia math department colleague D. H. Phong and fellow ex-Princeton grad student Eric D&#8217; Hoker have a new paper on the arXiv called <a href=\"http:\/\/www.arxiv.org\/abs\/hep-th\/0512197\">Complex Geometry and Supergeometry<\/a>.  It is based on Phong&#8217;s recent lecture at this year&#8217;s <a href=\"http:\/\/www.math.harvard.edu\/cdm\/index.html\">Current Developments in Mathematics<\/a> conference at Harvard last month.  D&#8217; Hoker and Phong have been able to explicitly write down and show finiteness of superstring amplitudes at two loops, with the problem still remaining open at higher loops.<\/p>\n<p>The <a href=\"http:\/\/www.arxiv.org\">arXiv<\/a> web-site has a new look today.  Gone are Paul Ginsparg&#8217;s &#8220;skull and cross-bones&#8221; icons like <a href=\"http:\/\/www.arxiv.org\/icons\/front\/front.gif\">this<\/a>. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Eckhard Meinrenken has been teaching a course at Toronto on Lie groups and Clifford algebras, and he has lecture notes available. This is beautiful mathematics and brings together several of my favorite mathematical topics: Clifford algebras, spinors, and representation theory &hellip; <a href=\"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/?p=317\">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-317","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\/317","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=317"}],"version-history":[{"count":0,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=\/wp\/v2\/posts\/317\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=317"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=317"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.math.columbia.edu\/~woit\/wordpress\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=317"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}