{"id":602,"date":"2025-08-08T16:29:38","date_gmt":"2025-08-08T14:29:38","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=602"},"modified":"2025-08-08T16:29:38","modified_gmt":"2025-08-08T14:29:38","slug":"beyond-poisson-geometry-when-a-bivector-field-is-symmetric","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2025\/08\/08\/beyond-poisson-geometry-when-a-bivector-field-is-symmetric\/","title":{"rendered":"Beyond Poisson geometry: when a bivector field is symmetric"},"content":{"rendered":"<p>8-12 September. Talk by Filip Mou\u010dka at Differential Geometry and its Applications, Brno (Czech Republic).<\/p>\n<p>Abstract: Poisson geometry is a well-established field of mathematics concerned with skew-symmetric bivector fields obeying a specific integrability condition, however, much less is known about their symmetric counterparts. In this talk, I will introduce symmetric Poisson structures: symmetric bivector fields satisfying a new integrability condition inspired by the Poisson framework. I will demonstrate their close relation to totally geodesic foliations and Jacobi-Jordan algebras and provide several illustrative examples.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>8-12 September. Talk by Filip Mou\u010dka at Differential Geometry and its Applications, Brno (Czech Republic). Abstract: Poisson geometry is a well-established field of mathematics concerned with skew-symmetric bivector fields obeying a specific integrability condition, however, much less is known about their symmetric counterparts. In this talk, I will introduce symmetric Poisson structures: symmetric bivector fields [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28,26],"tags":[],"class_list":["post-602","post","type-post","status-publish","format-standard","hentry","category-moucka","category-talks"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/602","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=602"}],"version-history":[{"count":1,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/602\/revisions"}],"predecessor-version":[{"id":603,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/602\/revisions\/603"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=602"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=602"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=602"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}