{"id":2442,"date":"2022-07-25T13:00:47","date_gmt":"2022-07-25T10:00:47","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2442"},"modified":"2022-10-18T18:44:53","modified_gmt":"2022-10-18T15:44:53","slug":"u-haifa-topology-geometry-seminar-sunday-july-24-2022-speaker-simona-paoli-aberdeen-title-weakly-globular-double-categories-and-weak-units","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2442","title":{"rendered":"U. Haifa Topology &#038; Geometry seminar: Sunday, July 24, 2022. Speaker: Simona Paoli (Aberdeen). Title: &#8220;Weakly globular double categories and weak units&#8221;."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Time: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/strong>17:00 (Israel Time)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Location: &nbsp;<\/strong>Room 614 of the Science &amp; Education Building, University of Haifa and on Zoom<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Recording link:<\/strong><br><a href=\"https:\/\/us02web.zoom.us\/rec\/share\/sYN7G8VN3MXfRuwaUOnvzT9ecrjTecjGgJs2YZu0AJXNFDkYdbidmfWzmtabE42N.WKmhxQ0j0aIqI9xl\">https:\/\/us02web.zoom.us\/rec\/share\/sYN7G8VN3MXfRuwaUOnvzT9ecrjTecjGgJs2YZu0AJXNFDkYdbidmfWzmtabE42N.WKmhxQ0j0aIqI9xl<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Abstract:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Segal-type models of weak 2-categories are simplicial models of bicategories, and they comprise the Tamsamani model and the more recent weakly globular double categories. Fair 2-categories, introduced by J. Kock, model weak 2-categories with strictly associative compositions and weak unit laws. This model has some features in common with the Segal-type models, but with the simplicial delta replaced by the fat delta, which encodes weak units. &nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">I will illustrate a direct comparison of fair 2-categories with the Segal type models: this result sheds new light on the notion of weak globularity as encoding weak units and has potential for higher dimensional generalizations.&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Time: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;17:00 (Israel Time) Location: &nbsp;Room 614 of the Science &amp; Education Building, University of Haifa and on Zoom Recording link:https:\/\/us02web.zoom.us\/rec\/share\/sYN7G8VN3MXfRuwaUOnvzT9ecrjTecjGgJs2YZu0AJXNFDkYdbidmfWzmtabE42N.WKmhxQ0j0aIqI9xl Abstract: Segal-type models of weak 2-categories are simplicial models of bicategories, and they comprise the Tamsamani model and the&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2442\">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-2442","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\/2442","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=2442"}],"version-history":[{"count":2,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2442\/revisions"}],"predecessor-version":[{"id":2484,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2442\/revisions\/2484"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2442"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2442"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}