{"id":1345,"date":"2018-12-17T17:09:02","date_gmt":"2018-12-17T15:09:02","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1345"},"modified":"2018-12-24T10:49:30","modified_gmt":"2018-12-24T08:49:30","slug":"thursday-geometry-and-topology-seminar-20-dec-lior-yanovski-title-higher-semi-additivity-and-chromatic-homotopy-theory","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1345","title":{"rendered":"Thursday, Geometry and Topology Seminar, 20 Dec,  Lior Yanovski . Title &#8221; Higher semi-additivity and chromatic homotopy theory   &#8220;"},"content":{"rendered":"<p style=\"font-weight: 400;\"><strong><u>Geometry\u00a0&amp; Topology Seminar<\/u><\/strong><\/p>\n<p style=\"font-weight: 400;\">Speaker:\u00a0 Lior Yanovski (The Hebrew University of Jerusalem)<\/p>\n<p style=\"font-weight: 400;\">Topic:\u00a0Higher semi-additivity and chromatic homotopy theory<\/p>\n<p style=\"font-weight: 400;\">Place:\u00a0\u00a0\u00a0 room 614 in the Science &amp; Education Building<\/p>\n<p style=\"font-weight: 400;\">Time\u00a0 \u00a012:10<\/p>\n<p style=\"font-weight: 400;\">Date:\u00a0 Monday, November 20, 2018<\/p>\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>In ordinary algebra, characteristic zero behaves differently from characteristic p&gt;0 partially due to the possibility to symmetrize\u00a0finite group actions. In particular, given a finite dimensional group G acting on a rational vector space V, the &#8220;norm map&#8221; from the co-invariants V_G to the invariants V^G is an isomorphism (in a marked contrast to the positive characteristic case). In the chromatic world, the Morava K-theories\u00a0provide\u00a0an interpolation between the zero\u00a0characteristic\u00a0represented by rational cohomology and positive characteristic represented by F_p cohomology. A classical result of Hovey-Sadofsky-Greenlees shows that the norm map is still an\u00a0ismorphism\u00a0in these &#8220;intermediate characteristics&#8221;. A subsequent work of Hopkins and Lurie vastly generalises this result and puts it in the context of a\u00a0new formalism of &#8220;higher\u00a0semiadditivity&#8221; (a.k.a. &#8220;amidexterity&#8221;). I will describe a joint work with Tomer Schlank and Shachar Carmeli in which we generalize the results of Hopkins-Lurie and extend them to the\u00a0<em>telescopic localizations\u00a0<\/em>and draw some consequences<em>\u00a0<\/em>(along the way, we obtain a new and more conceptual proof for their original result).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Geometry\u00a0&amp; Topology Seminar Speaker:\u00a0 Lior Yanovski (The Hebrew University of Jerusalem) Topic:\u00a0Higher semi-additivity and chromatic homotopy theory Place:\u00a0\u00a0\u00a0 room 614 in the Science &amp; Education Building Time\u00a0 \u00a012:10 Date:\u00a0 Monday, November 20, 2018 \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: In ordinary algebra, characteristic zero behaves&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=1345\">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-1345","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\/1345","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=1345"}],"version-history":[{"count":2,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1345\/revisions"}],"predecessor-version":[{"id":1350,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1345\/revisions\/1350"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1345"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1345"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1345"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}