{"id":2888,"date":"2024-11-27T19:56:36","date_gmt":"2024-11-27T17:56:36","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2888"},"modified":"2024-12-11T12:23:41","modified_gmt":"2024-12-11T10:23:41","slug":"u-haifa-topology-geometry-seminar-tuesday-mar-5-2024-speaker-surojit-ghosh-iit-roorkee-title-higher-homotopy-invariants-of-diagrams-of-chain-complexes-2","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2888","title":{"rendered":"U. Haifa Topology &amp; Geometry seminar: Wednesday, Nov. 27, 2024. Speaker: Giuseppe Leoncini (Universit\u00e0 degli Studi di Milano Statale). Title: &#8220;Universal homotopy theories in the enriched context\u2019&#8221;."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">I will put forward a possible generalization of Dugger\u2019s theorem on universal homotopy theories, in enriched homotopy theory, following previous work of Dugger and Shipley for the case of enrichment over Abelian groups. I will discuss what can be done and the problems that arise. Moreover, I will contextualize the topic in the setting of enriched \u221e-categories<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Recording:<\/strong> <a href=\"https:\/\/us02web.zoom.us\/rec\/share\/MoVPIKYkW_3HnBRNzViUeN2fLG2AZVmWBeibf77tCUSS_NKDICNqhi7W_aWhq9jZ.vMP5y9gHjQLjjAzy\">https:\/\/us02web.zoom.us\/rec\/share\/MoVPIKYkW_3HnBRNzViUeN2fLG2AZVmWBeibf77tCUSS_NKDICNqhi7W_aWhq9jZ.vMP5y9gHjQLjjAzy<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>I will put forward a possible generalization of Dugger\u2019s theorem on universal homotopy theories, in enriched homotopy theory, following previous work of Dugger and Shipley for the case of enrichment over Abelian groups. I will discuss what can be done&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2888\">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-2888","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\/2888","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=2888"}],"version-history":[{"count":6,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2888\/revisions"}],"predecessor-version":[{"id":2895,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2888\/revisions\/2895"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2888"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2888"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2888"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}