{"id":246,"date":"2024-02-26T18:45:00","date_gmt":"2024-02-26T16:45:00","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=246"},"modified":"2024-03-19T08:15:01","modified_gmt":"2024-03-19T06:15:01","slug":"holomorphic-divergences-by-m-garcia-fernandez","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2024\/02\/26\/holomorphic-divergences-by-m-garcia-fernandez\/","title":{"rendered":"Holomorphic divergences, by M. Garc\u00eda-Fern\u00e1ndez"},"content":{"rendered":"<p>21 Mar 2024, 11h CET. Talk by M. Garc\u00eda-Fern\u00e1ndez.<\/p>\n<p>Abstract: A smooth divergence on a Courant algebroid E is a differential operator from sections of E to functions on the base manifold, satisfying a natural Leibniz rule with respect to the anchor map. Divergence operators keep track of the &#8216;conformal geometry&#8217; of the Courant algebroid and play an important role in defining natural curvature quantities in generalized geometry, such as the generalized Ricci tensor. In the first part of this talk, I will give a (gentle) overview of basic aspects of the theory of smooth divergences. In the second part of this talk, we will introduce the notion of &#8216;holomorphic divergence&#8217; and explain their interplay with the theory of canonical generalized metrics on a complex manifold.<br \/>\n.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>21 Mar 2024, 11h CET. Talk by M. Garc\u00eda-Fern\u00e1ndez. Abstract: A smooth divergence on a Courant algebroid E is a differential operator from sections of E to functions on the base manifold, satisfying a natural Leibniz rule with respect to the anchor map. Divergence operators keep track of the &#8216;conformal geometry&#8217; of the Courant algebroid [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[40],"tags":[],"class_list":["post-246","post","type-post","status-publish","format-standard","hentry","category-2023-2024"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/246","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=246"}],"version-history":[{"count":4,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/246\/revisions"}],"predecessor-version":[{"id":288,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/246\/revisions\/288"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=246"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=246"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=246"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}