{"id":119,"date":"2023-10-31T10:00:53","date_gmt":"2023-10-31T08:00:53","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=119"},"modified":"2024-01-22T20:54:52","modified_gmt":"2024-01-22T18:54:52","slug":"symmetric-cartan-calculus-symmetric-poisson-geometry-and-cn-generalized-geometry","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2023\/10\/31\/symmetric-cartan-calculus-symmetric-poisson-geometry-and-cn-generalized-geometry\/","title":{"rendered":"Symmetric Cartan calculus, symmetric Poisson geometry, and Cn-generalized geometry"},"content":{"rendered":"<p>31 Oct 2023. Talk by Filip Mou\u010dka at the Geometry Seminar (LIGAT), UAB.<\/p>\n<p>Abstract: We introduce analogues of the exterior derivative, the Lie derivative, and the Lie bracket of vector fields, on the algebra of completely symmetric covariant tensor fields. Then we discuss the basic properties and geometrical interpretation of these objects. Using the correspondence between the Cartan calculus and its symmetric counterpart, we introduce a symmetric version of Poisson geometry and generalized geometry.<\/p>\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\/2024\/01\/23_10-31-Geometry-seminar-LIGAT-Barcelona-1.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustaci\u00f3 del fitxer 23_10-31-Geometry-seminar-LIGAT-Barcelona-1.\"><\/object><a id=\"wp-block-file--media-eeef3e06-ae87-4ac9-8fd4-1bd100540429\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2024\/01\/23_10-31-Geometry-seminar-LIGAT-Barcelona-1.pdf\">23_10-31-Geometry-seminar-LIGAT-Barcelona-1<\/a><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2024\/01\/23_10-31-Geometry-seminar-LIGAT-Barcelona-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-eeef3e06-ae87-4ac9-8fd4-1bd100540429\">Download<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>31 Oct 2023. Talk by Filip Mou\u010dka at the Geometry Seminar (LIGAT), UAB. Abstract: We introduce analogues of the exterior derivative, the Lie derivative, and the Lie bracket of vector fields, on the algebra of completely symmetric covariant tensor fields. Then we discuss the basic properties and geometrical interpretation of these objects. Using the correspondence [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28,26],"tags":[],"class_list":["post-119","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\/119","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=119"}],"version-history":[{"count":10,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/119\/revisions"}],"predecessor-version":[{"id":210,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/119\/revisions\/210"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=119"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=119"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=119"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}