{"id":1535,"date":"2013-09-05T04:02:15","date_gmt":"2013-09-05T09:02:15","guid":{"rendered":"http:\/\/sites.williams.edu\/Morgan\/?p=1535"},"modified":"2013-09-09T18:25:16","modified_gmt":"2013-09-09T23:25:16","slug":"geometry-and-pdes-in-barcelona","status":"publish","type":"post","link":"https:\/\/sites.williams.edu\/Morgan\/2013\/09\/05\/geometry-and-pdes-in-barcelona\/","title":{"rendered":"Geometry and PDEs in Barcelona"},"content":{"rendered":"<p style=\"text-align: left\">Sixty mathematicians and students gathered in Barcelona at the Center for Research in Mathematics CRM for a <a href=\"http:\/\/www.crm.cat\/en\/Activities\/Pages\/ActivityFoldersAndPages\/Curs%202013-2014\/cellipticpdes.aspx\">Conference on Qualitative and Geometric Aspects of Elliptic PDEs<\/a>, proficiently organized by Xavier Cabr\u00e9, Daniele Castorina, Manel Sanch\u00f3n, and Enrico Valdinoci.<\/p>\n<p><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona01.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-1536\" alt=\"Barcelona01\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona01-300x125.jpg\" width=\"563\" height=\"234\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona01-300x125.jpg 300w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona01-1024x428.jpg 1024w\" sizes=\"auto, (max-width: 563px) 100vw, 563px\" \/><\/a><\/p>\n<p>In my <a href=\"https:\/\/docs.google.com\/file\/d\/0B-qTFDO7f3gQZFhtUGxHakNsZ1U\/edit?usp=sharing\">talk<\/a> I mentioned a new isoperimetric theorem by Xavier Cabr\u00e9 and his students Xavier Ros-Ot\u00f3n and Joaquim Serra, which they describe in this <a href=\"http:\/\/youtu.be\/1QxFKw9pMQ4\">video<\/a>.<!--more--><\/p>\n<p><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona02.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1537 alignnone\" alt=\"Barcelona02\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona02-225x300.jpg\" width=\"127\" height=\"170\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona02-225x300.jpg 225w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona02-768x1024.jpg 768w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona02.jpg 960w\" sizes=\"auto, (max-width: 127px) 100vw, 127px\" \/><\/a> <a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona03.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1538 alignnone\" alt=\"Barcelona03\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona03-300x225.jpg\" width=\"227\" height=\"170\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona03-300x225.jpg 300w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona03-1024x768.jpg 1024w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona03.jpg 1280w\" sizes=\"auto, (max-width: 227px) 100vw, 227px\" \/><\/a> <a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona04.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1539 alignnone\" alt=\"Barcelona04\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona04-300x225.jpg\" width=\"225\" height=\"169\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona04-300x225.jpg 300w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona04-1024x768.jpg 1024w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona04.jpg 1280w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\u00a0 <a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona06.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1541 alignnone\" alt=\"Barcelona06\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona06-225x300.jpg\" width=\"127\" height=\"171\" \/><\/a> <a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona07.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1542 alignleft\" alt=\"Barcelona07\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona07-225x300.jpg\" width=\"117\" height=\"157\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona07-225x300.jpg 225w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona07-768x1024.jpg 768w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona07.jpg 960w\" sizes=\"auto, (max-width: 117px) 100vw, 117px\" \/><\/a><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona05.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1540 alignleft\" alt=\"Barcelona05\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona05-225x300.jpg\" width=\"117\" height=\"157\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona05-225x300.jpg 225w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona05-768x1024.jpg 768w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona05.jpg 960w\" sizes=\"auto, (max-width: 117px) 100vw, 117px\" \/><\/a> <a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona08.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1543 alignnone\" alt=\"Barcelona08\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona08-300x225.jpg\" width=\"208\" height=\"156\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona08-300x225.jpg 300w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona08-1024x768.jpg 1024w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona08.jpg 1280w\" sizes=\"auto, (max-width: 208px) 100vw, 208px\" \/><\/a> <a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona09.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1544 alignnone\" alt=\"Barcelona09\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona09-300x169.jpg\" width=\"269\" height=\"152\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona09-300x169.jpg 300w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona09-1024x578.jpg 1024w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona09.jpg 1280w\" sizes=\"auto, (max-width: 269px) 100vw, 269px\" \/><\/a><\/p>\n<p><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona10.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1545 alignnone\" alt=\"Barcelona10\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona10-300x225.jpg\" width=\"231\" height=\"173\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona10-300x225.jpg 300w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona10-1024x768.jpg 1024w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona10.jpg 1280w\" sizes=\"auto, (max-width: 231px) 100vw, 231px\" \/> \u00a0<\/a>\u00a0\u00a0 <a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona11.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1546 alignnone\" alt=\"Barcelona11\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona11-300x199.jpg\" width=\"261\" height=\"173\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona11-300x199.jpg 300w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona11-1024x680.jpg 1024w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Barcelona11.jpg 1280w\" sizes=\"auto, (max-width: 261px) 100vw, 261px\" \/><strong><\/strong><\/a><strong><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Kassmann1.jpg\"><br \/>\n<\/a><\/strong><strong><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Mantgegazza1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft\" alt=\"Mantgegazza1\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Mantgegazza1-300x225.jpg\" width=\"232\" height=\"175\" \/> <\/a><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/BarcelonaB.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft\" alt=\"BarcelonaB\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/BarcelonaB-300x259.jpg\" width=\"204\" height=\"176\" \/> <\/a><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/BarcelonaA.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" alt=\"BarcelonaA\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/BarcelonaA-300x225.jpg\" width=\"232\" height=\"174\" \/><\/a><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><strong><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Wei1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1559 alignnone\" alt=\"Wei1\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Wei1-300x225.jpg\" width=\"228\" height=\"171\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Wei1-300x225.jpg 300w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Wei1-1024x768.jpg 1024w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Wei1.jpg 1280w\" sizes=\"auto, (max-width: 228px) 100vw, 228px\" \/><\/a><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Ros1.jpg\"><img loading=\"lazy\" decoding=\"async\" alt=\"Ros1\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Ros1-283x300.jpg\" width=\"161\" height=\"171\" \/><\/a><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Pratelli1.jpg\"><img loading=\"lazy\" decoding=\"async\" alt=\"Pratelli1\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Pratelli1-259x300.jpg\" width=\"167\" height=\"194\" \/> <\/a> <\/strong><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/McCann1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1565 alignleft\" alt=\"McCann1\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/McCann1-300x189.jpg\" width=\"300\" height=\"189\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/McCann1-300x189.jpg 300w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/McCann1-1024x648.jpg 1024w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/McCann1.jpg 1280w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/>\u00a0\u00a0<\/a><\/p>\n<p style=\"text-align: left\"><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/Ros1.jpg\">\u00a0<\/a><a href=\"http:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/HPIM9127.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1575\" alt=\"HPIM9127\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/HPIM9127-225x300.jpg\" width=\"225\" height=\"300\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/HPIM9127-225x300.jpg 225w, https:\/\/sites.williams.edu\/Morgan\/files\/2013\/09\/HPIM9127-768x1024.jpg 768w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sixty mathematicians and students gathered in Barcelona at the Center for Research in Mathematics CRM for a Conference on Qualitative and Geometric Aspects of Elliptic PDEs, proficiently organized by Xavier Cabr\u00e9, Daniele Castorina, Manel Sanch\u00f3n, and Enrico Valdinoci. In my talk I mentioned a new isoperimetric theorem by Xavier Cabr\u00e9 and his students Xavier Ros-Ot\u00f3n [&hellip;]<\/p>\n","protected":false},"author":269,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[14042,14043],"tags":[],"class_list":["post-1535","post","type-post","status-publish","format-standard","hentry","category-general-interest","category-math"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/1535","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/users\/269"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/comments?post=1535"}],"version-history":[{"count":28,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/1535\/revisions"}],"predecessor-version":[{"id":1587,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/1535\/revisions\/1587"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/media?parent=1535"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/categories?post=1535"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/tags?post=1535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}