{"id":787,"date":"2026-05-27T05:56:30","date_gmt":"2026-05-27T03:56:30","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/gentle\/?p=787"},"modified":"2026-06-01T17:37:37","modified_gmt":"2026-06-01T15:37:37","slug":"finite-generation-of-singular-distributions-by-k-richardson","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/gentle\/2026\/05\/27\/finite-generation-of-singular-distributions-by-k-richardson\/","title":{"rendered":"Finite generation of singular distributions, by K. Richardson"},"content":{"rendered":"<p>1 Jun 2026, 14:00 CET. Talk by Ken Richardson.<\/p>\n<p>Abstract: I give an outline of a proof (by my coauthors and I in 2010) of the fact that smooth singular distributions over a connected manifold can be generated pointwise by a finite number of global vector fields, a fact which can also be easily generalized to smooth singular vector bundles. We also showed that it is almost never the case that the space of smooth sections of such a distribution can be finitely generated as a module over the ring of smooth functions. I also describe what are called cosmooth distributions and other more recent tangentially related work (pun intended).<\/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\/2026\/05\/SmoothDistributions2026_05_26withNotes.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustaci\u00f3 del fitxer Slides:.\"><\/object><a id=\"wp-block-file--media-9ea7bde9-71d1-4717-8c69-a3b9695328f0\" href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2026\/05\/SmoothDistributions2026_05_26withNotes.pdf\">Slides:<\/a><a href=\"https:\/\/mat.uab.cat\/web\/gentle\/wp-content\/uploads\/sites\/38\/2026\/05\/SmoothDistributions2026_05_26withNotes.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-9ea7bde9-71d1-4717-8c69-a3b9695328f0\">Baixa<\/a><\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>1 Jun 2026, 14:00 CET. Talk by Ken Richardson. Abstract: I give an outline of a proof (by my coauthors and I in 2010) of the fact that smooth singular distributions over a connected manifold can be generated pointwise by a finite number of global vector fields, a fact which can also be easily generalized [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[53,36],"tags":[],"class_list":["post-787","post","type-post","status-publish","format-standard","hentry","category-2025-2026","category-seminar"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/787","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=787"}],"version-history":[{"count":2,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/787\/revisions"}],"predecessor-version":[{"id":793,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/posts\/787\/revisions\/793"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/media?parent=787"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/categories?post=787"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/gentle\/wp-json\/wp\/v2\/tags?post=787"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}