{"id":1532,"date":"2019-09-03T17:56:36","date_gmt":"2019-09-03T14:56:36","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1532"},"modified":"2019-09-03T17:56:36","modified_gmt":"2019-09-03T14:56:36","slug":"next-week-wednesday-at-1100-u-haifa-topology-geometry-seminar-on-september-11-2019","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1532","title":{"rendered":"Next week, Wednesday at 11:00, U. Haifa Topology &#038; Geometry seminar on September 11, 2019"},"content":{"rendered":"<p style=\"font-weight: 400;\"><strong><u>Geometry\u00a0&amp; Topology Seminar<\/u><\/strong><\/p>\n<p style=\"font-weight: 400;\">\n<p style=\"font-weight: 400;\">Speaker:\u00a0Paoli Simona (University of Leicester)<\/p>\n<p style=\"font-weight: 400;\">\n<p style=\"font-weight: 400;\">Topic:\u00a0Comonad cohomology of track categories<\/p>\n<p style=\"font-weight: 400;\">Place:\u00a0 \u00a0 Room 614 in the Science &amp; Education Building<\/p>\n<p style=\"font-weight: 400;\">Time:\u00a0 \u00a011:00<\/p>\n<p style=\"font-weight: 400;\">Date:\u00a0 Wednesday, September 11, 2019<\/p>\n<p style=\"font-weight: 400;\">\n<p style=\"font-weight: 400;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<strong><u>Abstract<\/u><\/strong><strong><u>:<\/u><\/strong><\/p>\n<p>Simplicial categories are one of the models of (\\infty,1)-categories. They can be studied using the Postnikov decomposition, whose sections are categories enriched in simplicial n-types and whose k-invariants are defined in terms of the (S,O)-cohomology of Dwyer, Kan and Smith. The latter is defined topologically, while the understanding of the k-invariants calls for an algebraic description. In this talk I illustrate the first step of this program, for categories enriched in groupoids, also called track category. We define a comonad cohomology of track categories and we show that, under mild hypothesis on the track category, its comonad cohomology coincides up to a dimension shift, with its (S,O)-cohomology, therefore obtaining an algebraic formulation of the latter. This is joint work with David Blanc.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Geometry\u00a0&amp; Topology Seminar Speaker:\u00a0Paoli Simona (University of Leicester) Topic:\u00a0Comonad cohomology of track categories Place:\u00a0 \u00a0 Room 614 in the Science &amp; Education Building Time:\u00a0 \u00a011:00 Date:\u00a0 Wednesday, September 11, 2019 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Abstract: Simplicial categories are one of the models of (\\infty,1)-categories&#8230;.<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=1532\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1532","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1532","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1532"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1532\/revisions"}],"predecessor-version":[{"id":1533,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1532\/revisions\/1533"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1532"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1532"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1532"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}