{"id":22843,"date":"2021-10-08T12:10:39","date_gmt":"2021-10-08T09:10:39","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/tr\/?p=22843"},"modified":"2021-10-11T16:32:17","modified_gmt":"2021-10-11T13:32:17","slug":"math-seminer-persistence-modules-and-the-interleaving-distance-tane-vergili-1530-11-ekim-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/tr\/math-seminer-persistence-modules-and-the-interleaving-distance-tane-vergili-1530-11-ekim-en\/","title":{"rendered":"MATH Seminer: \u201cPersistence modules and the interleaving distance\u201d, Tane Vergili, 15:30 11 Ekim (EN)"},"content":{"rendered":"<div class=\"moz-text-html\" lang=\"x-unicode\">\n<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: Tane Vergili (Karadeniz Technical University)<\/p>\n<p>\u201cPersistence modules and the interleaving distance\u201d<\/p>\n<p>Abstract: In topological data analysis, a persistence module is obtained with applying homology with coefficients in some fixed field to the increasing family of topological spaces or complexes. The distance between two persistence modules can be measured with the interleaving metric. The collection of persistence modules with the interleaving metric fails to be a topological space since it is not a set but a class. For this, one can restrict oneself to the identified sets together with the topology induced by the interleaving distance in order to study their basic topological properties. In this talk we are going to discuss persistence modules, the interleaving distance and the topological properties of the considered sets of persistence modules induced by the interleaving distance.<\/p>\n<p>Date: 11 October, 2021<br \/>\nTime: 15:30 UTC+3<\/p>\n<p>This is an online seminar. To request the event link, please send a message to cihan.okay@bilkent.edu.tr<\/p>\n<\/div>\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: Tane Vergili (Karadeniz Technical University) \u201cPersistence modules and the interleaving distance\u201d Abstract: In topological data analysis, a persistence module is obtained with applying homology with coefficients in some fixed field to [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/tr\/math-seminer-persistence-modules-and-the-interleaving-distance-tane-vergili-1530-11-ekim-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":[22],"tags":[],"class_list":["post-22843","post","type-post","status-publish","format-standard","hentry","category-eskipostlar"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts\/22843","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/comments?post=22843"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts\/22843\/revisions"}],"predecessor-version":[{"id":22844,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/posts\/22843\/revisions\/22844"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/media?parent=22843"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/categories?post=22843"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/tr\/wp-json\/wp\/v2\/tags?post=22843"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}