{"id":2764,"date":"2024-03-05T20:34:36","date_gmt":"2024-03-05T18:34:36","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2764"},"modified":"2024-03-05T20:37:29","modified_gmt":"2024-03-05T18:37:29","slug":"u-haifa-topology-geometry-seminar-tuesday-mar-5-2024-speaker-surojit-ghosh-iit-roorkee-title-higher-homotopy-invariants-of-diagrams-of-chain-complexes","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2764","title":{"rendered":"U. Haifa Topology &amp; Geometry seminar: Tuesday, Mar. 5, 2024. Speaker: Surojit Ghosh (IIT Roorkee). Title: &#8220;Higher homotopy invariants of diagrams of chain complexes&#8221;."},"content":{"rendered":"<p>While encoding the homotopy invariants in a model category, one approach (due to Heller and<br \/>\nGrothendieck) is to determine certain higher invariants in the homotopy categories of all small diagram<br \/>\ncategories. In this talk, we provide an explicit approach to analyze the homotopy types of diagrams in<br \/>\nthe non-negatively graded chain complexes over a field and show that it can be described entirely in<br \/>\nterms of appropriate diagrams of graded vector spaces.<br \/>\nJoint work with David Blanc and Aziz Kharouf.<br \/>\nhttps:\/\/us02web.zoom.us\/rec\/share\/wtDQAb_4R0ctoCHCjRR9FomZPDiTMGpvg7aho8FyHqIpSjhTyODJE4kr5VwHUA.xiHdvMV9-eFrr75H<\/p>\n","protected":false},"excerpt":{"rendered":"<p>While encoding the homotopy invariants in a model category, one approach (due to Heller and Grothendieck) is to determine certain higher invariants in the homotopy categories of all small diagram categories. In this talk, we provide an explicit approach to&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2764\">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-2764","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\/2764","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=2764"}],"version-history":[{"count":4,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2764\/revisions"}],"predecessor-version":[{"id":2769,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2764\/revisions\/2769"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2764"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2764"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2764"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}