{"id":154,"date":"2026-04-15T07:24:54","date_gmt":"2026-04-15T07:24:54","guid":{"rendered":"https:\/\/mrc-baku.org\/?p=154"},"modified":"2026-05-01T03:26:35","modified_gmt":"2026-05-01T03:26:35","slug":"general-seminar-by-ergun-yalcin","status":"publish","type":"post","link":"https:\/\/mrc-baku.org\/index.php\/general-seminar-by-ergun-yalcin\/","title":{"rendered":"General Seminar by Erg\u00fcn Yal\u00e7\u0131n"},"content":{"rendered":"\n<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n<meta charset=\"UTF-8\">\n<meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\n<title>Seminar Announcement \u2014 Mathematics Research Center<\/title>\n<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=EB+Garamond:ital,wght@0,400;0,500;0,600;1,400;1,500&#038;family=DM+Mono:wght@300;400;500&#038;family=Outfit:wght@300;400;500;600&#038;display=swap\" rel=\"stylesheet\">\n<script>MathJax = { tex: { inlineMath: [['\\\\(','\\\\)']] } };<\/script>\n<script src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-chtml.js\" async><\/script>\n<style>\n  body { background: #eee; 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}\n\n\/* \u2500\u2500 Footer strip \u2500\u2500 *\/\n.ann-footer {\n  background: var(--slate); color: rgba(245,240,232,0.5);\n  font-family: var(--mono); font-size: 0.6rem; letter-spacing: 0.07em;\n  padding: 0.75rem 2.5rem;\n  display: flex; align-items: center; justify-content: space-between;\n}\n.ann-footer a { color: var(--gold); text-decoration: none; }\n\n@media (max-width: 560px) {\n  .ann-poster   { padding: 1.8rem 1.5rem 2rem; }\n  .ann-abstract { padding: 1.5rem; }\n  .ann-meta     { padding: 1rem 1.5rem; }\n  .ann-footer   { padding: 0.75rem 1.5rem; }\n}\n<\/style>\n<!-- \u2500\u2500\u2500 END STYLE BLOCK \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 -->\n\n\n<!-- \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\n     SEMINAR ANNOUNCEMENT\n     Change data-type to: \"general\" | \"research\" | \"student\"\n     \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 -->\n<div class=\"ann-block\" data-type=\"general\">\n\n  <div class=\"ann-topbar\"><\/div>\n\n  <!-- Logo row -->\n  <div class=\"ann-logo-row\">\n    <img decoding=\"async\" class=\"ann-logo\" src=\"http:\/\/mrc-baku.org\/wp\/wp-content\/uploads\/2026\/03\/mrcnew-1024x183.png\" alt=\"ASOIU Mathematics Research Center\">\n    <!--\n      Replace LOGO_URL_HERE with your logo URL from WP Media Library.\n      Or replace the <img> with text fallback:\n      <div class=\"ann-logo-placeholder\">ASOIU \u00b7 MRC<\/div>\n    -->\n  <\/div>\n\n  <!-- Poster -->\n  <div class=\"ann-poster\">\n    <div class=\"ann-type\">General Seminar<\/div>\n    <div class=\"ann-poster-rule\"><\/div>\n    <div class=\"ann-title\">\n      Worst-case examples for the computation of persistent homology\n    <\/div>\n    <div class=\"ann-speaker\">Erg\u00fcn Yal\u00e7\u0131n<\/div>\n    <div class=\"ann-affil\">Bilkent University, T\u00fcrkiye<\/div>\n<!-- <a href=\"https:\/\/forms.gle\/UkK8JDM7WgHj364c7\" class=\"ann-reg-btn\" target=\"_blank\" rel=\"noopener\">Register to Attend \u2192<\/a> -->\n  <\/div>\n\n  <!-- Meta -->\n  <div class=\"ann-meta\">\n    <div class=\"ann-meta-item\">\n      <svg viewBox=\"0 0 16 16\" fill=\"currentColor\">\n        <path d=\"M7 0H2a1 1 0 00-1 1v2h14V1a1 1 0 00-1-1H7zm7 4H1v10a1 1 0 001 1h12a1 1 0 001-1V4z\"\/>\n      <\/svg>\n      <span><span class=\"ann-meta-label\">Date&nbsp;<\/span>April 21, 2026<\/span>\n    <\/div>\n    <div class=\"ann-meta-item\">\n      <svg viewBox=\"0 0 16 16\" fill=\"currentColor\">\n        <path d=\"M8 1a5 5 0 100 10A5 5 0 008 1zM0 8a8 8 0 1116 0A8 8 0 010 8z\"\/>\n        <path d=\"M7.5 4.5v4l2.5 1.5.5-.87L8.5 8V4.5z\"\/>\n      <\/svg>\n      <span><span class=\"ann-meta-label\">Time&nbsp;<\/span>14:15<\/span>\n    <\/div>\n    <div class=\"ann-meta-item\">\n      <svg viewBox=\"0 0 16 16\" fill=\"currentColor\">\n        <path d=\"M8 0C5.24 0 3 2.24 3 5c0 3.75 5 11 5 11s5-7.25 5-11c0-2.76-2.24-5-5-5zm0 7.5a2.5 2.5 0 110-5 2.5 2.5 0 010 5z\"\/>\n      <\/svg>\n      <span><span class=\"ann-meta-label\">Location&nbsp;<\/span>MRC @ UFAZ 308<\/span>\n    <\/div>\n  <\/div>\n\n  <!-- Abstract -->\n  <div class=\"ann-abstract\">\n    <div class=\"ann-abstract-label\">Abstract<\/div>\n    <div class=\"ann-abstract-body\">\n      <p>Topological Data Analysis via persistent homology is a new emerging area of data analysis that uses methods from simplicial topology. The persistent homology of a data set can be calculated using a simple algorithm called reduction algorithm. In this talk, I will present a new construction of worst-case examples for this algorithm. Our constructions are similar to the worst-case examples introduced by Morozov, but replace the single-triangle arrangement with a strip formed by base and fin triangles. This structure allows us to give an explicit algorithm for their construction and to perform experiments comparing the runtime of different variants of the reduction algorithm. We further show that, after suitable edge and triangle subdivisions,\nthese strip examples remain worst-case and can be realized as clique complexes of filtered graphs, and hence as Vietoris&#8211;Rips complexes of finite point clouds for a sequence of scale parameters.<\/p>\n    <\/div>\n  <\/div>\n\n  <!-- Footer -->\n  <div class=\"ann-footer\">\n    <span>Mathematics Research Center \u00b7 ASOIU, Baku<\/span>\n    <a href=\"\/seminars\/\">All seminars \u2192<\/a>\n  <\/div>\n\n<\/div><!-- \/.ann-block -->\n<!-- \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\n     END SEMINAR ANNOUNCEMENT\n     \u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 -->\n\n\n<!-- \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\n     BLANK TEMPLATE \u2014 copy this for new announcements\n     \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500 -->\n<!--\n\n<div class=\"ann-block\" data-type=\"general\">\n\n  <div class=\"ann-topbar\"><\/div>\n\n  <div class=\"ann-logo-row\">\n    <img decoding=\"async\" class=\"ann-logo\" src=\"LOGO_URL_HERE\" alt=\"ASOIU Mathematics Research Center\">\n  <\/div>\n\n  <div class=\"ann-poster\">\n    <div class=\"ann-type\">General Seminar<\/div>\n    <div class=\"ann-poster-rule\"><\/div>\n    <div class=\"ann-title\">\n      TALK TITLE HERE\n    <\/div>\n    <div class=\"ann-speaker\">Speaker Name<\/div>\n    <div class=\"ann-affil\">Institution<\/div>\n  <\/div>\n\n  <div class=\"ann-meta\">\n    <div class=\"ann-meta-item\">\n      <svg viewBox=\"0 0 16 16\" fill=\"currentColor\"><path d=\"M7 0H2a1 1 0 00-1 1v2h14V1a1 1 0 00-1-1H7zm7 4H1v10a1 1 0 001 1h12a1 1 0 001-1V4z\"\/><\/svg>\n      <span><span class=\"ann-meta-label\">Date&nbsp;<\/span>Month DD, YYYY<\/span>\n    <\/div>\n    <div class=\"ann-meta-item\">\n      <svg viewBox=\"0 0 16 16\" fill=\"currentColor\"><path d=\"M8 1a5 5 0 100 10A5 5 0 008 1zM0 8a8 8 0 1116 0A8 8 0 010 8z\"\/><path d=\"M7.5 4.5v4l2.5 1.5.5-.87L8.5 8V4.5z\"\/><\/svg>\n      <span><span class=\"ann-meta-label\">Time&nbsp;<\/span>HH:MM<\/span>\n    <\/div>\n    <div class=\"ann-meta-item\">\n      <svg viewBox=\"0 0 16 16\" fill=\"currentColor\"><path d=\"M8 0C5.24 0 3 2.24 3 5c0 3.75 5 11 5 11s5-7.25 5-11c0-2.76-2.24-5-5-5zm0 7.5a2.5 2.5 0 110-5 2.5 2.5 0 010 5z\"\/><\/svg>\n      <span><span class=\"ann-meta-label\">Location&nbsp;<\/span>Room \/ Online<\/span>\n    <\/div>\n  <\/div>\n\n  <div class=\"ann-abstract\">\n    <div class=\"ann-abstract-label\">Abstract<\/div>\n    <div class=\"ann-abstract-body\">\n      <p>Abstract text here. Use \\(...\\) for inline math.<\/p>\n    <\/div>\n  <\/div>\n\n  <div class=\"ann-footer\">\n    <span>Mathematics Research Center \u00b7 ASOIU, Baku<\/span>\n    <a href=\"\/seminars\/\">All seminars \u2192<\/a>\n  <\/div>\n\n<\/div>\n\n-->\n\n\n<\/body>\n<\/html>\n","protected":false},"excerpt":{"rendered":"<p>Seminar Announcement \u2014 Mathematics Research Center General Seminar Worst-case examples for the computation of persistent homology Erg\u00fcn Yal\u00e7\u0131n Bilkent University, T\u00fcrkiye Date&nbsp;April 21, 2026 Time&nbsp;14:15 Location&nbsp;MRC @ UFAZ 308 Abstract Topological Data Analysis via persistent homology is a new emerging area of data analysis that uses methods from simplicial topology. The persistent homology of a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_edit_lock":["1777605995:1"],"_edit_last":["1"],"_wp_page_template":["default"]},"categories":[6],"tags":[24],"class_list":["post-154","post","type-post","status-publish","format-standard","hentry","category-generalseminar","tag-algebra"],"_links":{"self":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/posts\/154","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/comments?post=154"}],"version-history":[{"count":4,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/posts\/154\/revisions"}],"predecessor-version":[{"id":496,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/posts\/154\/revisions\/496"}],"wp:attachment":[{"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/media?parent=154"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/categories?post=154"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mrc-baku.org\/index.php\/wp-json\/wp\/v2\/tags?post=154"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}