{"id":455,"date":"2025-02-22T10:10:47","date_gmt":"2025-02-22T08:10:47","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=455"},"modified":"2025-03-05T10:56:11","modified_gmt":"2025-03-05T08:56:11","slug":"curvature-and-holonomy-in-generalized-geometry","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2025\/02\/22\/curvature-and-holonomy-in-generalized-geometry\/","title":{"rendered":"Curvature and Holonomy in Generalized Geometry"},"content":{"rendered":"<p>26 Feb 2025. Talk by Jaime Pedregal at the <a href=\"https:\/\/www.icmat.es\/events\/seminars\/seminar-landing\/?ID=2505\">ICMAT Geometry seminar<\/a>.<\/p>\n<p>Abstract: Curvature in generalized geometry has proven to be an elusive concept admitting several different approaches, each one with its own advantages and disadvantages. Furthermore, the concept of holonomy for generalized connections is, so far, missing from the theory, partly because any sensible definition of generalized holonomy should be linked to generalized curvature through an Ambrose\u2013Singer-type theorem. In this talk, after an introduction to generalized Riemannian geometry, I will address these and related issues.<\/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\/02\/Curvature-and-Holonomy-in-Generalized-Geometry.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustaci\u00f3 del fitxer Slides:.\"><\/object><a id=\"wp-block-file--media-c9838a13-e417-432b-be02-6aede9e01b2b\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2025\/02\/Curvature-and-Holonomy-in-Generalized-Geometry.pdf\">Slides:<\/a><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2025\/02\/Curvature-and-Holonomy-in-Generalized-Geometry.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-c9838a13-e417-432b-be02-6aede9e01b2b\">Download<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>26 Feb 2025. Talk by Jaime Pedregal at the ICMAT Geometry seminar. Abstract: Curvature in generalized geometry has proven to be an elusive concept admitting several different approaches, each one with its own advantages and disadvantages. Furthermore, the concept of holonomy for generalized connections is, so far, missing from the theory, partly because any sensible [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[32,26],"tags":[],"class_list":["post-455","post","type-post","status-publish","format-standard","hentry","category-pedregal","category-talks"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/455","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=455"}],"version-history":[{"count":2,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/455\/revisions"}],"predecessor-version":[{"id":459,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/455\/revisions\/459"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=455"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=455"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=455"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}