{"id":9686,"date":"2018-11-09T12:50:40","date_gmt":"2018-11-09T09:50:40","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=9686"},"modified":"2018-11-19T10:49:11","modified_gmt":"2018-11-19T07:49:11","slug":"math-seminar-an-introduction-to-fusion-systems-alperins-weight-conjecture-linckelmanns-gluing-conjecture-part-2-laurence-barker-sa-141-1040am-november-19-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-an-introduction-to-fusion-systems-alperins-weight-conjecture-linckelmanns-gluing-conjecture-part-2-laurence-barker-sa-141-1040am-november-19-en\/","title":{"rendered":"MATH Seminar: &#8220;An Introduction to Fusion Systems, Alperin&#8217;s Weight Conjecture, Linckelmann&#8217;s Gluing Conjecture, Part 2,&#8221; Laurence Barker, SA-141, 10:40AM November 19 (EN)"},"content":{"rendered":"<p>Dear Colleagues and Students,<br \/>\nYou are kindly invited to the Algebra Seminar organized by the Department of Mathematics.<br \/>\nSpeaker: Laurence Barker (Bilkent University) <\/p>\n<p>&#8220;An introduction to fusion systems, Alperin&#8217;s Weight Conjecture, Linckelmann&#8217;s Gluing Conjecture, part 2.&#8221; <\/p>\n<p><strong>Abstract:<\/strong> We shall introduce the fusion system of a block, constructing it as a subquotient category of the transporter category of the G-poset of Brauer pairs. We shall use it to express Puig&#8217;s reformulation of Alperin&#8217;s Conjecture, which is a p-local assertion in Puig&#8217;s strong sense. Examples show that the fusion system cannot be the sole p-local invariant involved. Like a New Year tree, the fusion system has to be decorated.<br \/>\nThe appropriate decorations consist of twists of the automorphism groups at some special objects called the centric objects.<br \/>\nLinckelmann&#8217;s Gluing Conjecture says that those twists can be unified, realized as a single twist of the category algebra of the centric part of the fusion system. <\/p>\n<p>Date: Monday, November 19, 2018<br \/>\nTime: 10:40<br \/>\nPlace: Mathematics Seminar Room, SA \u2013 141 <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dear Colleagues and Students, You are kindly invited to the Algebra Seminar organized by the Department of Mathematics. Speaker: Laurence Barker (Bilkent University) &#8220;An introduction to fusion systems, Alperin&#8217;s Weight Conjecture, Linckelmann&#8217;s Gluing Conjecture, part 2.&#8221; Abstract: We shall introduce the fusion system of a block, constructing it as a [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-an-introduction-to-fusion-systems-alperins-weight-conjecture-linckelmanns-gluing-conjecture-part-2-laurence-barker-sa-141-1040am-november-19-en\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-9686","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/9686","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\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=9686"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/9686\/revisions"}],"predecessor-version":[{"id":9687,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/9686\/revisions\/9687"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=9686"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=9686"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=9686"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}