{"id":2360,"date":"2022-04-06T11:23:27","date_gmt":"2022-04-06T08:23:27","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2360"},"modified":"2022-04-11T18:57:06","modified_gmt":"2022-04-11T15:57:06","slug":"u-haifa-topology-geometry-seminar-sunday-apr-10-2022-speaker-niles-johnson-ohio-state-university-title-graded-picard-categories-and-the-2-type-of-the-sphere","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2360","title":{"rendered":"U. Haifa Topology &#038; Geometry seminar: Sunday, Apr. 10, 2022. Speaker: Niles Johnson (Ohio State University). Title: &#8220;Graded Picard categories and the 2-type of the sphere&#8221;."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Time: <\/strong>17:00 (Israel Time)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Location: <\/strong>On Zoom<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Recording:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/us02web.zoom.us\/rec\/share\/c93WMCqjj3eUShqHmo0pAyvcVQsJCDKMfFflNdJvj3NjjXnwH6rndDkFT1J8YBFJ.wkT8MPwk-Dl_yovw\">https:\/\/us02web.zoom.us\/rec\/share\/c93WMCqjj3eUShqHmo0pAyvcVQsJCDKMfFflNdJvj3NjjXnwH6rndDkFT1J8YBFJ.wkT8MPwk-Dl_yovw<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Slides:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/nilesjohnson.net\/notes\/grPic-P2S.pdf\">https:\/\/nilesjohnson.net\/notes\/grPic-P2S.pdf<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Abstract: <\/strong>The Stable Homotopy Hypothesis connects symmetric monoidal<br>algebra and stable homotopy theory.&nbsp; In a classical special case, the<br>the tensor product of graded abelian groups leads to a model for the 1-dimensional stable homotopy of the sphere spectrum.&nbsp; In that case, the nontrivial sign rule for commuting elements corresponds to nontriviality in the first Postnikov invariant of the sphere. This talk describes a generalization to graded Picard categories, modeling the 2-dimensional stable homotopy of the sphere.&nbsp; The possible sign rules for this case reduce to certain elementary permutations.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The work we present is joint with N. Gurski and A.M. Osorno.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>ZOOM COORDINATES:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/us02web.zoom.us\/j\/84987591026?pwd=aTJWcFlOSldKck5leGt2d25CYkRqZz09\">https:\/\/us02web.zoom.us\/j\/84987591026?pwd=aTJWcFlOSldKck5leGt2d25CYkRqZz09<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Meeting ID: 849 8759 1026<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Future speakers:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Surojit Ghosh (IIT Roorkee) \u2013 April 24th<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dimitri Ara (Marseilles) \u2013 May 1<sup>st<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sourav Das (Haifa) \u2013 May 8th<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Viktoriya Ozornova (Bonn) \u2013 May 15th<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Andrew Salch (Wayne State) \u2013 May 22<sup>nd<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Markus Upmeier (Aberdeen) \u2013 May 29<sup>th<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Denis-Charles Cisinski (Regensburg) \u2013 June 5<sup>th<\/sup>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Time: 17:00 (Israel Time) Location: On Zoom Recording: https:\/\/us02web.zoom.us\/rec\/share\/c93WMCqjj3eUShqHmo0pAyvcVQsJCDKMfFflNdJvj3NjjXnwH6rndDkFT1J8YBFJ.wkT8MPwk-Dl_yovw Slides: https:\/\/nilesjohnson.net\/notes\/grPic-P2S.pdf Abstract: The Stable Homotopy Hypothesis connects symmetric monoidalalgebra and stable homotopy theory.&nbsp; In a classical special case, thethe tensor product of graded abelian groups leads to a model for&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2360\">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-2360","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\/2360","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=2360"}],"version-history":[{"count":4,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2360\/revisions"}],"predecessor-version":[{"id":2370,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2360\/revisions\/2370"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2360"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2360"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2360"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}