{"id":498,"date":"2025-04-19T12:46:22","date_gmt":"2025-04-19T10:46:22","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=498"},"modified":"2025-04-27T21:30:02","modified_gmt":"2025-04-27T19:30:02","slug":"differential-forms-as-a-unifying-force-for-geometric-structures-2","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2025\/04\/19\/differential-forms-as-a-unifying-force-for-geometric-structures-2\/","title":{"rendered":"Differential forms as a unifying force for geometric structures"},"content":{"rendered":"<div class=\"entry-content alignfull wp-block-post-content has-global-padding is-layout-constrained wp-block-post-content-is-layout-constrained\">\n<p>24 Apr 2025. Talk by Roberto Rubio at the <a href=\"https:\/\/www.ub.edu\/topologia\/seminar.html\">UB Topology seminar<\/a>.<\/p>\n<p>Abstract: Many geometric structures such as symplectic, complex, cosymplectic, almost contact\u2026 involve or can be reformulated using differential forms. First, I will describe how generalized complex geometry uses this fact to encompass complex and symplectic geometry and show how much further it can get, always within even dimensions. I will then introduce a natural extension to manifolds of any dimension, known as Bn-generalized complex geometry. Finally, I will focus on the case of 3-manifolds, which is recent joint work with Joan Porti, shows novel phenomena and hints at an intriguing interaction between geometry and topology.<\/p>\n<\/div>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2025\/04\/25.04-UB-1.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustaci\u00f3 del fitxer Slides:.\"><\/object><a id=\"wp-block-file--media-fe415b93-b431-47a2-b770-0befae089e3f\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2025\/04\/25.04-UB-1.pdf\">Slides:<\/a><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2025\/04\/25.04-UB-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-fe415b93-b431-47a2-b770-0befae089e3f\">Download<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>24 Apr 2025. Talk by Roberto Rubio at the UB Topology seminar. Abstract: Many geometric structures such as symplectic, complex, cosymplectic, almost contact\u2026 involve or can be reformulated using differential forms. First, I will describe how generalized complex geometry uses this fact to encompass complex and symplectic geometry and show how much further it can [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[34,26],"tags":[],"class_list":["post-498","post","type-post","status-publish","format-standard","hentry","category-rubio","category-talks"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/498","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/users\/54"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/comments?post=498"}],"version-history":[{"count":3,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/498\/revisions"}],"predecessor-version":[{"id":522,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/498\/revisions\/522"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=498"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=498"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=498"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}