{"id":4037,"date":"2023-08-09T12:08:26","date_gmt":"2023-08-09T05:08:26","guid":{"rendered":"https:\/\/math.sc.chula.ac.th\/?p=4037"},"modified":"2024-10-06T16:46:08","modified_gmt":"2024-10-06T16:46:08","slug":"%e0%b8%82%e0%b8%ad%e0%b9%80%e0%b8%8a%e0%b8%b4%e0%b8%8d%e0%b8%a3%e0%b9%88%e0%b8%a7%e0%b8%a1%e0%b8%9f%e0%b8%b1%e0%b8%87%e0%b8%9a%e0%b8%a3%e0%b8%a3%e0%b8%a2%e0%b8%b2%e0%b8%a2%e0%b9%80%e0%b8%a3%e0%b8%b7-2","status":"publish","type":"post","link":"https:\/\/math.sc.chula.ac.th\/wordpress\/2023\/story-news\/%e0%b8%82%e0%b8%ad%e0%b9%80%e0%b8%8a%e0%b8%b4%e0%b8%8d%e0%b8%a3%e0%b9%88%e0%b8%a7%e0%b8%a1%e0%b8%9f%e0%b8%b1%e0%b8%87%e0%b8%9a%e0%b8%a3%e0%b8%a3%e0%b8%a2%e0%b8%b2%e0%b8%a2%e0%b9%80%e0%b8%a3%e0%b8%b7-2\/","title":{"rendered":"\u0e02\u0e2d\u0e40\u0e0a\u0e34\u0e0d\u0e23\u0e48\u0e27\u0e21\u0e1f\u0e31\u0e07\u0e1a\u0e23\u0e23\u0e22\u0e32\u0e22\u0e40\u0e23\u0e37\u0e48\u0e2d\u0e07 Introduction to Ricci curvature on discrete spaces"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"4037\" class=\"elementor elementor-4037\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9f0163b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9f0163b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4ccb624\" data-id=\"4ccb624\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9dfd1e4 elementor-widget elementor-widget-image\" data-id=\"9dfd1e4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2023\/08\/11-01-1024x1024.png\" class=\"attachment-large size-large wp-image-4038\" alt=\"\" srcset=\"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2023\/08\/11-01-1024x1024.png 1024w, https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2023\/08\/11-01-300x300.png 300w, https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2023\/08\/11-01-150x150.png 150w, https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2023\/08\/11-01-768x768.png 768w, https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2023\/08\/11-01-1536x1536.png 1536w, https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2023\/08\/11-01-2048x2048.png 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3e62cb30 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3e62cb30\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-778f49d1\" data-id=\"778f49d1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-437c56a7 elementor-widget elementor-widget-text-editor\" data-id=\"437c56a7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\u0e02\u0e2d\u0e40\u0e0a\u0e34\u0e0d\u0e23\u0e48\u0e27\u0e21\u0e1f\u0e31\u0e07\u0e1a\u0e23\u0e23\u0e22\u0e32\u0e22\u0e40\u0e23\u0e37\u0e48\u0e2d\u0e07&nbsp;<span style=\"caret-color: rgb(5, 5, 5); color: rgb(5, 5, 5); font-family: system-ui, -apple-system, BlinkMacSystemFont, &quot;.SFNSText-Regular&quot;, sans-serif; font-size: 15px; font-style: normal; font-variant-caps: normal; white-space: pre-wrap;\">&#8220;Introduction to Ricci curvature on discrete spaces&#8221; <\/span><span style=\"caret-color: rgb(5, 5, 5); color: rgb(5, 5, 5); font-family: system-ui, -apple-system, BlinkMacSystemFont, &quot;.SFNSText-Regular&quot;, sans-serif; font-size: 15px; font-style: normal; font-variant-caps: normal; white-space: pre-wrap;\">by Dr. Supanat Kamtue<\/span><\/p>\n<div dir=\"auto\" style=\"font-style: normal; font-variant-caps: normal; font-family: system-ui, -apple-system, BlinkMacSystemFont, &quot;.SFNSText-Regular&quot;, sans-serif; caret-color: rgb(5, 5, 5); color: rgb(5, 5, 5); font-size: 15px; white-space: pre-wrap;\">Postdoctoral researcher at Yau Mathematical Sciences Center, Tsinghua University, Beijing, China<br><\/div>\n<p><br><\/p>\n<p><span style=\"font-style: normal; font-variant-caps: normal; caret-color: rgb(5, 5, 5); color: rgb(5, 5, 5); font-family: system-ui, -apple-system, BlinkMacSystemFont, &quot;.SFNSText-Regular&quot;, sans-serif; font-size: 15px; white-space: pre-wrap;\">\u0e43\u0e19\u0e27\u0e31\u0e19\u0e1e\u0e38\u0e18\u0e17\u0e35\u0e48 16 \u0e2a\u0e34\u0e07\u0e2b\u0e32\u0e04\u0e21 2566 \u0e40\u0e27\u0e25\u0e32 15.00 &#8211; 16.30 \u0e19.  \u0e13 \u0e2b\u0e49\u0e2d\u0e07 608\/5 \u0e0a\u0e31\u0e49\u0e19 6 \u0e04\u0e27\u0e1a\u0e04\u0e39\u0e48\u0e01\u0e31\u0e1a Facebook Live&nbsp;<\/span><\/p>\n<p><span style=\"font-style: normal; font-variant-caps: normal; caret-color: rgb(5, 5, 5); color: rgb(5, 5, 5); font-family: system-ui, -apple-system, BlinkMacSystemFont, &quot;.SFNSText-Regular&quot;, sans-serif; font-size: 15px; white-space: pre-wrap;\">(<\/span><a href=\"https:\/\/www.facebook.com\/math.cu.seminar\" style=\"font-size: 18px;\">https:\/\/www.facebook.com\/math.cu.seminar<\/a><span style=\"caret-color: rgb(5, 5, 5); color: rgb(5, 5, 5); font-family: system-ui, -apple-system, BlinkMacSystemFont, &quot;.SFNSText-Regular&quot;, sans-serif; font-size: 15px; font-style: normal; font-variant-caps: normal; white-space: pre-wrap;\">) <\/span><\/p>\n<p><span style=\"font-style: normal; font-variant-caps: normal; caret-color: rgb(5, 5, 5); color: rgb(5, 5, 5); font-family: system-ui, -apple-system, BlinkMacSystemFont, &quot;.SFNSText-Regular&quot;, sans-serif; font-size: 15px; white-space: pre-wrap;\"><b>Abstract<\/b>: This talk is an overview on three different Ricci curvature notions defined on graphs, namely Ollivier-Ricci curvature, Baky-Emery curvature and Entropic Ricci curvature. I will talk about their motivations from Riemannian geometry and optimal transport theory. I will then review some geometric properties on manifolds related to Ricci curvature (for instance, Cheeger constant, spectral gap and diameter bound) and discuss their discrete analogues on graphs.<\/span><br><\/p>\n<p><span style=\"font-style: normal; font-variant-caps: normal; caret-color: rgb(5, 5, 5); color: rgb(5, 5, 5); font-family: system-ui, -apple-system, BlinkMacSystemFont, &quot;.SFNSText-Regular&quot;, sans-serif; font-size: 15px; white-space: pre-wrap;\"><b>\u0e1c\u0e39\u0e49\u0e17\u0e35\u0e48\u0e2a\u0e19\u0e43\u0e08\u0e2a\u0e32\u0e21\u0e32\u0e23\u0e16\u0e25\u0e07\u0e17\u0e30\u0e40\u0e1a\u0e35\u0e22\u0e19\u0e44\u0e14\u0e49\u0e17\u0e35\u0e48<\/b>  <\/span><a href=\"https:\/\/docs.google.com\/forms\/d\/e\/1FAIpQLSe3vuTYwCUtS-PA0t-mwWqK3TwgNZ73NF8O1ygcdHl-P5wOYA\/viewform?fbclid=IwAR1Z91SQAWk3KWKsox1R9WrjV4dxXJHb7D3qL6vaPC9JVi1V2FRjo_6C0Jk\" style=\"font-size: 18px;\">https:\/\/docs.google.com\/forms\/d\/e\/1FAIpQLSe3vuTYwCUtS-PA0t-mwWqK3TwgNZ73NF8O1ygcdHl-P5wOYA\/viewform?fbclid=IwAR1Z91SQAWk3KWKsox1R9WrjV4dxXJHb7D3qL6vaPC9JVi1V2FRjo_6C0Jk<\/a><span style=\"font-style: normal; font-variant-caps: normal; caret-color: rgb(5, 5, 5); color: rgb(5, 5, 5); font-family: system-ui, -apple-system, BlinkMacSystemFont, &quot;.SFNSText-Regular&quot;, sans-serif; font-size: 15px; white-space: pre-wrap;\"><br><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u0e02\u0e2d\u0e40\u0e0a\u0e34\u0e0d\u0e23\u0e48\u0e27\u0e21\u0e1f\u0e31\u0e07\u0e1a\u0e23\u0e23\u0e22\u0e32\u0e22\u0e40\u0e23\u0e37\u0e48\u0e2d\u0e07&nbsp;&#8220;Introduction to Ricci curvature on discrete spaces&#8221; by Dr. Supanat Kamtue Postdoctoral researcher at Yau Mathematical Sciences Center, Tsinghua University, Beijing, China \u0e43\u0e19\u0e27\u0e31\u0e19\u0e1e\u0e38\u0e18\u0e17\u0e35\u0e48 16 \u0e2a\u0e34\u0e07\u0e2b\u0e32\u0e04\u0e21 2566 \u0e40\u0e27\u0e25\u0e32 15.00 &#8211; 16.30 \u0e19. \u0e13 \u0e2b\u0e49\u0e2d\u0e07 608\/5 \u0e0a\u0e31\u0e49\u0e19 6 \u0e04\u0e27\u0e1a\u0e04\u0e39\u0e48\u0e01\u0e31\u0e1a Facebook Live&nbsp; (https:\/\/www.facebook.com\/math.cu.seminar) Abstract: This talk is an overview on three different Ricci curvature notions defined on graphs,<a href=\"https:\/\/math.sc.chula.ac.th\/wordpress\/2023\/story-news\/%e0%b8%82%e0%b8%ad%e0%b9%80%e0%b8%8a%e0%b8%b4%e0%b8%8d%e0%b8%a3%e0%b9%88%e0%b8%a7%e0%b8%a1%e0%b8%9f%e0%b8%b1%e0%b8%87%e0%b8%9a%e0%b8%a3%e0%b8%a3%e0%b8%a2%e0%b8%b2%e0%b8%a2%e0%b9%80%e0%b8%a3%e0%b8%b7-2\/\">Continue reading <span class=\"sr-only\">&#8220;\u0e02\u0e2d\u0e40\u0e0a\u0e34\u0e0d\u0e23\u0e48\u0e27\u0e21\u0e1f\u0e31\u0e07\u0e1a\u0e23\u0e23\u0e22\u0e32\u0e22\u0e40\u0e23\u0e37\u0e48\u0e2d\u0e07 Introduction to Ricci curvature on discrete spaces&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":4039,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[6],"tags":[],"class_list":["post-4037","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-story-news"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u0e02\u0e2d\u0e40\u0e0a\u0e34\u0e0d\u0e23\u0e48\u0e27\u0e21\u0e1f\u0e31\u0e07\u0e1a\u0e23\u0e23\u0e22\u0e32\u0e22\u0e40\u0e23\u0e37\u0e48\u0e2d\u0e07 Introduction to Ricci curvature on discrete spaces | Department of Mathematics and Computer Science<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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\u0e43\u0e19\u0e27\u0e31\u0e19\u0e1e\u0e38\u0e18\u0e17\u0e35\u0e48 16 \u0e2a\u0e34\u0e07\u0e2b\u0e32\u0e04\u0e21 2566 \u0e40\u0e27\u0e25\u0e32 15.00 &#8211; 16.30 \u0e19. \u0e13 \u0e2b\u0e49\u0e2d\u0e07 608\/5 \u0e0a\u0e31\u0e49\u0e19 6 \u0e04\u0e27\u0e1a\u0e04\u0e39\u0e48\u0e01\u0e31\u0e1a Facebook Live&nbsp; (https:\/\/www.facebook.com\/math.cu.seminar) Abstract: This talk is an overview on three different Ricci curvature notions defined on graphs,Continue reading &quot;\u0e02\u0e2d\u0e40\u0e0a\u0e34\u0e0d\u0e23\u0e48\u0e27\u0e21\u0e1f\u0e31\u0e07\u0e1a\u0e23\u0e23\u0e22\u0e32\u0e22\u0e40\u0e23\u0e37\u0e48\u0e2d\u0e07 Introduction to Ricci curvature on discrete spaces&quot;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/math.sc.chula.ac.th\/wordpress\/2023\/story-news\/\u0e02\u0e2d\u0e40\u0e0a\u0e34\u0e0d\u0e23\u0e48\u0e27\u0e21\u0e1f\u0e31\u0e07\u0e1a\u0e23\u0e23\u0e22\u0e32\u0e22\u0e40\u0e23\u0e37-2\/\" \/>\n<meta property=\"og:site_name\" content=\"Department of Mathematics 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