{"id":18975,"date":"2023-03-17T09:27:39","date_gmt":"2023-03-17T06:27:39","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=18975"},"modified":"2023-03-21T08:16:03","modified_gmt":"2023-03-21T05:16:03","slug":"math-seminar-model-categories-ii-derived-functors-and-quillen-adjunctions-igor-sikora-130pm-march-20-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-model-categories-ii-derived-functors-and-quillen-adjunctions-igor-sikora-130pm-march-20-en\/","title":{"rendered":"MATH Seminar: \u201cModel Categories II \u2013 Derived functors and Quillen adjunctions\u201d, Igor Sikora, 1:30PM March 20 (EN)"},"content":{"rendered":"<p>You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n<p>Speaker: Igor Sikora (Bilkent University)<br \/>\n\u201cModel Categories II \u2013 Derived functors and Quillen adjunctions\u201d<\/p>\n<p>Abstract: Having the notion of a homotopy category, we will define the notion of a derived functor. Further, we will compare model structures and their homotopy categories by Quillen functors. Therefore we will cover Quillen functors, Quillen adjunctions, and Quillen equivalences. We will also prove that Quillen model structures on simplicial sets and topological spaces are Quillen equivalent. The talk will finish with a model structure on simplicial sets relevant to the theory of quasicategories, i.e., the Joyal model structure.<\/p>\n<p>Date: Monday, March 20, 2023<br \/>\nTime: 13:30<br \/>\nPlace: SA141 \u2013 Mathematics Seminar Room &amp; ZOOM<\/p>\n<p>To request the event link, please send a message to cihan.okay@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"<p>You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Igor Sikora (Bilkent University) \u201cModel Categories II \u2013 Derived functors and Quillen adjunctions\u201d Abstract: Having the notion of a homotopy category, we will define the notion of a derived functor. Further, we will compare model [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-model-categories-ii-derived-functors-and-quillen-adjunctions-igor-sikora-130pm-march-20-en\/\" rel=\"nofollow\">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":[12],"tags":[],"class_list":["post-18975","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/18975","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=18975"}],"version-history":[{"count":2,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/18975\/revisions"}],"predecessor-version":[{"id":18990,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/18975\/revisions\/18990"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=18975"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=18975"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=18975"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}