{"id":20108,"date":"2023-10-08T19:08:17","date_gmt":"2023-10-08T16:08:17","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=20108"},"modified":"2023-10-10T09:20:54","modified_gmt":"2023-10-10T06:20:54","slug":"math-seminar-colimits-of-categories-zig-zags-and-necklaces-redi-haderi-130pm-october-9-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-colimits-of-categories-zig-zags-and-necklaces-redi-haderi-130pm-october-9-en\/","title":{"rendered":"MATH Seminar: \u201cColimits of Categories, Zig-Zags and Necklaces\u201d, Redi Haderi, 1:30PM October 9 (EN)"},"content":{"rendered":"<p>You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n<p>Speaker: Redi Haderi (Bilkent University)<\/p>\n<p>\u201cColimits of categories, zig-zags and necklaces\u201d<\/p>\n<p>Abstract: Colimits of simplicial categories are generally considered hard to understand in explicit terms. Important simplicial categories, such as those freely generated by simplicial sets, arise as such colimits. In fact, the free simplicial category \u2013 coherent nerve adjunction has been demonstrated by Lurie to be a Quillen equivalence. We discuss how the problem of computing colimits of simplicial categories reduces to computing colimits of categories. Then, we present a theorem which describes the latter in explicit terms (to the best of our knowledge, not in the literature). As an application, we provide a computational proof of the Necklace Theorem of Dugger and Spivak.<\/p>\n<p>Date: Monday, October 9, 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: Redi Haderi (Bilkent University) \u201cColimits of categories, zig-zags and necklaces\u201d Abstract: Colimits of simplicial categories are generally considered hard to understand in explicit terms. Important simplicial categories, such as those freely generated by simplicial sets, [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-colimits-of-categories-zig-zags-and-necklaces-redi-haderi-130pm-october-9-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-20108","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/20108","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=20108"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/20108\/revisions"}],"predecessor-version":[{"id":20109,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/20108\/revisions\/20109"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=20108"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=20108"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=20108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}