{"id":12277,"date":"2019-10-31T08:15:41","date_gmt":"2019-10-31T05:15:41","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=12277"},"modified":"2019-11-04T13:40:04","modified_gmt":"2019-11-04T10:40:04","slug":"math-seminar-minimal-number-of-involution-generators-for-the-mapping-class-group-mustafa-korkmaz-metu-sa-141-140pm-november-4-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-minimal-number-of-involution-generators-for-the-mapping-class-group-mustafa-korkmaz-metu-sa-141-140pm-november-4-en\/","title":{"rendered":"MATH Seminar: &#8220;Minimal Number of Involution Generators for the Mapping Class Group,&#8221; Mustafa Korkmaz (METU), SA-141, 1:40PM November 4 (EN)"},"content":{"rendered":"<p>Dear Colleagues and Students,<\/p>\n<p>You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n<p>Speaker: Mustafa Korkmaz (METU)<\/p>\n<p>&#8220;Minimal number of involution generators for the mapping class group&#8221;<\/p>\n<p><strong>Abstract:<\/strong> The mapping class group Mod(\u03a3g) of a closed oriented surface \u03a3g of genus g is the group of isotopy classes of orientation\u2013preserving diffeomorphisms \u03a3g \u2192 \u03a3g. It is a fundamental object in low-dimensional topology. It is known that this group can be generated by finitely Dehn twists, torsion elements and also by involutions. In this talk I will discuss how to generate the group Mod(\u03a3g) with the smallest number of generators consisting of these types of elements, particularly our recent result on involutions: Mod(\u03a3g) is generated by three involutions.<\/p>\n<p>Date: November 4, 2019<br \/>\nTime: 13:40<br \/>\nPlace: Mathematics Seminar Room, SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dear Colleagues and Students, You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Mustafa Korkmaz (METU) &#8220;Minimal number of involution generators for the mapping class group&#8221; Abstract: The mapping class group Mod(\u03a3g) of a closed oriented surface \u03a3g of genus g is the group [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-minimal-number-of-involution-generators-for-the-mapping-class-group-mustafa-korkmaz-metu-sa-141-140pm-november-4-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-12277","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/12277","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=12277"}],"version-history":[{"count":2,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/12277\/revisions"}],"predecessor-version":[{"id":12279,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/12277\/revisions\/12279"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=12277"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=12277"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=12277"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}