{"id":1571,"date":"2019-11-11T15:35:54","date_gmt":"2019-11-11T13:35:54","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1571"},"modified":"2019-11-11T15:35:54","modified_gmt":"2019-11-11T13:35:54","slug":"this-week-thursday-at-1000-u-haifa-topology-geometry-seminar-on-november-14-2019","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1571","title":{"rendered":"This week, Thursday at 10:00, U. Haifa Topology &#038; Geometry seminar on November 14, 2019"},"content":{"rendered":"<p style=\"font-weight: 400;\"><strong><u>Geometry\u00a0&amp; Topology Seminar<\/u><\/strong><\/p>\n<p style=\"font-weight: 400;\">Speaker:\u00a0David Blanc (University of Haifa)<\/p>\n<p style=\"font-weight: 400;\">\n<p style=\"font-weight: 400;\">Topic:\u00a0Higher structure in unstable homotopy groups<\/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 \u00a010:00<\/p>\n<p style=\"font-weight: 400;\">Date:\u00a0 Thursday, November 14, 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 style=\"font-weight: 400;\">The homotopy groups of spheres have been a central topic of interest in homotopy theory since the 1940&#8217;s, but our knowledge of them is quite limited.<\/p>\n<p style=\"font-weight: 400;\">The over-all structure of the primary operations is known by Hilton&#8217;s Theorem from 1955, showing that they may be expressed in terms of the group operation,<\/p>\n<p style=\"font-weight: 400;\">Whitehead products, and compositions, but otherwise few global results are known.<\/p>\n<p style=\"font-weight: 400;\">\n<p style=\"font-weight: 400;\">In this talk we explore the higher structure on the unstable homotopy groups, taking the form of certain simplicial higher order operations,<\/p>\n<p style=\"font-weight: 400;\">using a version of the Bousfield-Friedlander spectral sequence of a simplicial space.\u00a0 We shall show how all operations can be recovered, in principle, from<\/p>\n<p style=\"font-weight: 400;\">the Whitehead products, and provide a sample computation if time permits.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Geometry\u00a0&amp; Topology Seminar Speaker:\u00a0David Blanc (University of Haifa) Topic:\u00a0Higher structure in unstable homotopy groups Place:\u00a0 \u00a0 Room 614 in the Science &amp; Education Building Time:\u00a0 \u00a010:00 Date:\u00a0 Thursday, November 14, 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: The homotopy groups of spheres have been a&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=1571\">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":[6,4],"tags":[],"class_list":["post-1571","post","type-post","status-publish","format-standard","hentry","category-gt-seminar","category-seminar"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1571","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=1571"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1571\/revisions"}],"predecessor-version":[{"id":1572,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1571\/revisions\/1572"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1571"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1571"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1571"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}