{"id":1072,"date":"2022-11-14T17:02:44","date_gmt":"2022-11-14T17:02:44","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/perera\/?p=1072"},"modified":"2023-12-29T17:03:11","modified_gmt":"2023-12-29T17:03:11","slug":"seminar-ring-theory-5","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/perera\/2022\/11\/14\/seminar-ring-theory-5\/","title":{"rendered":"Seminar (Ring Theory)"},"content":{"rendered":"<p>Wolfgang Pitsch (Universitat Aut\u00f2noma de Barcelona)<\/p>\n<p><em>Witt group and Maslov index<\/em><\/p>\n<p>Abstract: The main subjects of this talk will be $W(k)$, the Witt group over a field $k$, and the Maslov index of three Lagrangians in a symplectic space, which is an invariant, originally introduced in topology, taking values in $W(k)$. I will show how the machinery of Sturm sequences and Sylvester matrices developed by Barge-Lannes can be used to prove that the equivalence class of Maslov&#8217;s 2-cocycle, associated to the homonymous index, is trivial modulo $I^2$, with $I$ being the fundamental ideal of $W(k)$.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Wolfgang Pitsch (Universitat Aut\u00f2noma de Barcelona) Witt group and Maslov index Abstract: The main subjects of this talk will be $W(k)$, the Witt group over a field $k$, and the Maslov index of three Lagrangians in a symplectic space, which is an invariant, originally introduced in topology, taking values in $W(k)$. I will show how &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/mat.uab.cat\/web\/perera\/2022\/11\/14\/seminar-ring-theory-5\/\" class=\"more-link\">Continua llegint <span class=\"screen-reader-text\">\u00abSeminar (Ring Theory)\u00bb<\/span><\/a><\/p>\n","protected":false},"author":22,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,3],"tags":[],"class_list":["post-1072","post","type-post","status-publish","format-standard","hentry","category-ring-theory","category-seminars"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/posts\/1072","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/users\/22"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/comments?post=1072"}],"version-history":[{"count":1,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/posts\/1072\/revisions"}],"predecessor-version":[{"id":1073,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/posts\/1072\/revisions\/1073"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/media?parent=1072"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/categories?post=1072"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/perera\/wp-json\/wp\/v2\/tags?post=1072"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}