{"id":480,"date":"2025-05-09T08:36:49","date_gmt":"2025-05-09T06:36:49","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=480"},"modified":"2025-06-09T21:10:33","modified_gmt":"2025-06-09T19:10:33","slug":"dirac-products-and-concurring-dirac-structures-by-d-martinez-torres","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2025\/05\/09\/dirac-products-and-concurring-dirac-structures-by-d-martinez-torres\/","title":{"rendered":"Dirac products and concurring Dirac structures, by D. Mart\u00ednez Torres"},"content":{"rendered":"<p>20 May 2025, 14:00 CET. Talk by David Mart\u00ednez Torres.<\/p>\n<p>Abstract: We discuss two dual canonical operations on Dirac structures L and R, the tangent and the cotangent product. The tangent product, also known as tensor product, if smooth is always Dirac, and we will describe how its characteristic foliation relates to those of L and R. The more novel cotangent product need not be Dirac even if smooth. When it is, we say that L and R concur. Concurrence captures commuting Poison structures and refines the Dirac pairs of Dorfman and Kosmann\u2013Schwarzbach, and it is our proposal as the natural notion of \u201ccompatibility\u201d between Dirac structures. We shall illustrate the usefulness of tangent- and cotangent products in general, and the notion of concurrence in particular.<\/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\/2025\/05\/DiracProductsGENTLE-5-20-25.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustaci\u00f3 del fitxer Slides:.\"><\/object><a id=\"wp-block-file--media-f600863d-8f5b-4ebf-a933-164c36eda1a0\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2025\/05\/DiracProductsGENTLE-5-20-25.pdf\">Slides:<\/a><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2025\/05\/DiracProductsGENTLE-5-20-25.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-f600863d-8f5b-4ebf-a933-164c36eda1a0\">Download<\/a><\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>20 May 2025, 14:00 CET. Talk by David Mart\u00ednez Torres. Abstract: We discuss two dual canonical operations on Dirac structures L and R, the tangent and the cotangent product. The tangent product, also known as tensor product, if smooth is always Dirac, and we will describe how its characteristic foliation relates to those of L [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[45],"tags":[],"class_list":["post-480","post","type-post","status-publish","format-standard","hentry","category-2024-2025"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/480","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=480"}],"version-history":[{"count":6,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/480\/revisions"}],"predecessor-version":[{"id":545,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/480\/revisions\/545"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=480"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=480"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=480"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}