{"id":953,"date":"2026-10-29T12:54:38","date_gmt":"2026-10-29T10:54:38","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=953"},"modified":"2026-11-05T13:37:52","modified_gmt":"2026-11-05T11:37:52","slug":"obstructions-to-solving-the-maurer-cartan-equations-or-when-can-something-nonintegrable-be-deformed-into-something-integrable","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2026\/10\/29\/obstructions-to-solving-the-maurer-cartan-equations-or-when-can-something-nonintegrable-be-deformed-into-something-integrable\/","title":{"rendered":"Obstructions to solving the Maurer-Cartan equations, or &#8211; when can something nonintegrable be deformed into something integrable?"},"content":{"rendered":"<p>29 Oct 2026. Talk by Tom Ariel at the <a href=\"https:\/\/xiiiwpgrt.ime.usp.br\/p%C3%A1gina-inicial\">XIII Workshop on Poisson Geometry and Related Topics<\/a>.<\/p>\n<p>Abstract: <span class=\"C9DxTc \">In geometry, most deformation problems (complex, symplectic, Poisson\u2026) are governed by differential graded Lie algebras (DGLA\u2019s). A curved DGLA is a generalization of a DGLA, which corresponds geometrically to deformation problems where the initial object is not integrable (almost complex, non-Poisson bivector, non-closed 2-form&#8230;).<\/span><\/p>\n<p class=\"zfr3Q CDt4Ke \" dir=\"ltr\"><span class=\"C9DxTc \">I will present some obstructions to solving the Maurer-Cartan equation in curved DGLA&#8217;s. As an application, we will consider the problem of finding a Dirac complement to a given Dirac structure.<\/span><\/p>\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"XIII Workshop on Poisson Geometry and Related Topics\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/hNURGZIP0bc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>29 Oct 2026. Talk by Tom Ariel at the XIII Workshop on Poisson Geometry and Related Topics. Abstract: In geometry, most deformation problems (complex, symplectic, Poisson\u2026) are governed by differential graded Lie algebras (DGLA\u2019s). A curved DGLA is a generalization of a DGLA, which corresponds geometrically to deformation problems where the initial object is not [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[30,26],"tags":[],"class_list":["post-953","post","type-post","status-publish","format-standard","hentry","category-ariel","category-talks"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/953","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=953"}],"version-history":[{"count":3,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/953\/revisions"}],"predecessor-version":[{"id":962,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/953\/revisions\/962"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=953"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=953"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=953"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}