{"id":482,"date":"2025-03-26T10:21:19","date_gmt":"2025-03-26T08:21:19","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=482"},"modified":"2025-04-10T05:57:21","modified_gmt":"2025-04-10T03:57:21","slug":"differential-forms-as-a-unifying-force-for-geometric-structures","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2025\/03\/26\/differential-forms-as-a-unifying-force-for-geometric-structures\/","title":{"rendered":"Differential forms as a unifying force for geometric structures"},"content":{"rendered":"<p>8 Apr 2025. Talk by Roberto Rubio at the <a href=\"https:\/\/seminarios.impa.br\/visualizar\/10186\">IMPA Differential Geometry seminar<\/a>.<\/p>\n<p>Abstract: Many geometric structures such as symplectic, complex, cosymplectic, almost contact&#8230; 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","protected":false},"excerpt":{"rendered":"<p>8 Apr 2025. Talk by Roberto Rubio at the IMPA Differential Geometry seminar. Abstract: Many geometric structures such as symplectic, complex, cosymplectic, almost contact&#8230; 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 [&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-482","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\/482","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=482"}],"version-history":[{"count":2,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/482\/revisions"}],"predecessor-version":[{"id":494,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/482\/revisions\/494"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=482"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=482"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=482"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}