{"id":2383,"date":"2022-04-28T17:27:06","date_gmt":"2022-04-28T14:27:06","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2383"},"modified":"2022-05-06T12:43:51","modified_gmt":"2022-05-06T09:43:51","slug":"u-haifa-topology-geometry-seminar-sunday-may-1-2022-speaker-dimitri-ara-marseilles-title-comparison-of-three-nerve-functors-for-strict-n-categories","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2383","title":{"rendered":"U. Haifa Topology &#038; Geometry seminar: Sunday, May 1, 2022. Speaker: Dimitri Ara (Marseilles). Title: &#8220;Comparison of three nerve functors for strict n-categories&#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\"><strong>Abstract<\/strong>:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The nerve functor from categories to simplicial sets allows to associate to<br>any small category a homotopy type giving rise to a homotopy theory of smallcategories studied by Quillen, Thomason and Grothendieck. To generalize this picture to higher categories, one needs an analogous nerve functor. But there exists plenty of possibilities! The purpose of this talk will be toexplain generalities about comparison of nerve functors and to show that the for strict n-categories the multi-simplicial nerve, the cellular nerve andStreet&#8217;s nerve are all equivalent.<\/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\">Future speakers:<\/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 Abstract: The nerve functor from categories to simplicial sets allows to associate toany small category a homotopy type giving rise to a homotopy theory of smallcategories studied by Quillen, Thomason and Grothendieck. To&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2383\">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-2383","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\/2383","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=2383"}],"version-history":[{"count":3,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2383\/revisions"}],"predecessor-version":[{"id":2386,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2383\/revisions\/2386"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2383"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2383"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}