{"id":919,"date":"2026-08-31T12:43:55","date_gmt":"2026-08-31T10:43:55","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=919"},"modified":"2026-08-31T12:43:56","modified_gmt":"2026-08-31T10:43:56","slug":"symmetric-cartan-calculus","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2026\/08\/31\/symmetric-cartan-calculus\/","title":{"rendered":"Symmetric Cartan calculus"},"content":{"rendered":"<p>31 Aug 2026. Talk by Filip Mou\u010dka at the Student Colloquium and School on Mathematical Physics, Star\u00e1 Lesn\u00e1.<\/p>\n<p>Abstract:\u00a0We introduce symmetric Cartan calculus, an analogue of Cartan calculus on forms,\u00a0and clarify its geometric meaning via the geodesic spray, affine diffeomorphisms and\u00a0parallel transport. We also reveal a surprising connection with the Patterson-Walker\u00a0metric.<\/p>\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\/2026\/08\/Symmetric-Cartan-calculus_compressed.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustaci\u00f3 del fitxer Slides:.\"><\/object><a id=\"wp-block-file--media-42372043-66cc-4ae8-be34-5f25397a6e9f\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2026\/08\/Symmetric-Cartan-calculus_compressed.pdf\">Slides:<\/a><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2026\/08\/Symmetric-Cartan-calculus_compressed.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-42372043-66cc-4ae8-be34-5f25397a6e9f\">Baixa<\/a><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>31 Aug 2026. Talk by Filip Mou\u010dka at the Student Colloquium and School on Mathematical Physics, Star\u00e1 Lesn\u00e1. Abstract:\u00a0We introduce symmetric Cartan calculus, an analogue of Cartan calculus on forms,\u00a0and clarify its geometric meaning via the geodesic spray, affine diffeomorphisms and\u00a0parallel transport. We also reveal a surprising connection with the Patterson-Walker\u00a0metric.<\/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-919","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\/919","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=919"}],"version-history":[{"count":1,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/919\/revisions"}],"predecessor-version":[{"id":921,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/919\/revisions\/921"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=919"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=919"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=919"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}