{"id":5817,"date":"2026-01-06T15:48:08","date_gmt":"2026-01-06T06:48:08","guid":{"rendered":"https:\/\/www.ibs.re.kr\/ecopro\/?p=5817"},"modified":"2026-02-23T16:42:38","modified_gmt":"2026-02-23T07:42:38","slug":"winter-school-2026","status":"publish","type":"post","link":"https:\/\/www.ibs.re.kr\/ecopro\/winter-school-2026\/","title":{"rendered":"Winter school 2026"},"content":{"rendered":"\n<p id=\"block-1a25bde7-3186-4884-99b7-e1386c073d5e\">This year&#8217;s winter school is taking place on Jan 19-23, 2026. All information, including lecture notes, recordings will be available on the course homepage: <a href=\"https:\/\/www.ibs.re.kr\/ecopro\/winter-2026\/\">https:\/\/www.ibs.re.kr\/ecopro\/winter-2026\/<\/a><\/p>\n\n\n\n<p id=\"block-47886015-1083-49b9-98a2-3b71cf779972\">Lecturer: Eero R\u00e4ty (IBS ECOPRO)<\/p>\n\n\n\n<p id=\"block-e40dad09-2cd1-48e3-9b3c-1bd22943578a\"><strong>Recent advances in cut-problems on graphs<\/strong><\/p>\n\n\n\n<p id=\"block-58085e0d-eaa7-474b-bca2-bee1bbd978ab\">This mini-course will serve as an introduction to cut problems in graphs and related topics. The course will begin by covering the basics of spectral graph theory, including the Alon\u2013Boppana theorem and the expander mixing lemma. We will then introduce some fundamental tools in the field, such as the Goemans\u2013Williamson algorithm, along with its applications to various types of max-cut problems in graphs and hypergraphs. Towards the end of the course, we will explore recent advancements in the area, which rely on more involved spectral properties of adjacency matrices.<\/p>\n\n\n\n<div class=\"wp-block-stackable-image stk-block-image stk-block stk-006750a\" data-block-id=\"006750a\"><figure><span class=\"stk-img-wrapper stk-image--shape-stretch\"><img loading=\"lazy\" decoding=\"async\" class=\"stk-img wp-image-5776\" src=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/01\/f43ebfe0783320e907666529f13c7e08.jpg\" width=\"1280\" height=\"1811\" srcset=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/01\/f43ebfe0783320e907666529f13c7e08.jpg 1280w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/01\/f43ebfe0783320e907666529f13c7e08-212x300.jpg 212w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/01\/f43ebfe0783320e907666529f13c7e08-724x1024.jpg 724w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/01\/f43ebfe0783320e907666529f13c7e08-768x1087.jpg 768w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/01\/f43ebfe0783320e907666529f13c7e08-1086x1536.jpg 1086w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/01\/f43ebfe0783320e907666529f13c7e08-283x400.jpg 283w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/span><\/figure><\/div>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/b466a197e642227dc1835c2b13b9eb7a-1024x683.jpg\" alt=\"\" class=\"wp-image-5934\" srcset=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/b466a197e642227dc1835c2b13b9eb7a-1024x683.jpg 1024w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/b466a197e642227dc1835c2b13b9eb7a-300x200.jpg 300w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/b466a197e642227dc1835c2b13b9eb7a-768x512.jpg 768w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/b466a197e642227dc1835c2b13b9eb7a-1536x1024.jpg 1536w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/b466a197e642227dc1835c2b13b9eb7a-600x400.jpg 600w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/b466a197e642227dc1835c2b13b9eb7a.jpg 1920w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/65c4de33d2e8b43981f06fc136839428-1024x768.jpg\" alt=\"\" class=\"wp-image-5935\" srcset=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/65c4de33d2e8b43981f06fc136839428-1024x768.jpg 1024w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/65c4de33d2e8b43981f06fc136839428-300x225.jpg 300w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/65c4de33d2e8b43981f06fc136839428-768x576.jpg 768w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/65c4de33d2e8b43981f06fc136839428-1536x1152.jpg 1536w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/65c4de33d2e8b43981f06fc136839428-533x400.jpg 533w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/65c4de33d2e8b43981f06fc136839428.jpg 1707w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/0575a10fd193643e931f74ec845e2e19-1024x768.jpg\" alt=\"\" class=\"wp-image-5936\" srcset=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/0575a10fd193643e931f74ec845e2e19-1024x768.jpg 1024w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/0575a10fd193643e931f74ec845e2e19-300x225.jpg 300w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/0575a10fd193643e931f74ec845e2e19-768x576.jpg 768w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/0575a10fd193643e931f74ec845e2e19-1536x1152.jpg 1536w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/0575a10fd193643e931f74ec845e2e19-533x400.jpg 533w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/02\/0575a10fd193643e931f74ec845e2e19.jpg 1707w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>This year&#8217;s winter school is taking place on Jan 19-23, 2026. All information, including lecture notes, recordings will be available on the course homepage: https:\/\/www.ibs.re.kr\/ecopro\/winter-2026\/ Lecturer: Eero R\u00e4ty (IBS ECOPRO) &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.ibs.re.kr\/ecopro\/winter-school-2026\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Winter school 2026&#8221;<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":5824,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-5817","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"featured_image_src":"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/01\/ScreenShot_2026-01-06_155037_294.png","author_info":{"display_name":"hongliu","author_link":"https:\/\/www.ibs.re.kr\/ecopro\/author\/hongliu\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Winter school 2026 - Extremal Combinatorics and Probability Group<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ibs.re.kr\/ecopro\/winter-school-2026\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Winter school 2026 - Extremal Combinatorics and Probability Group\" \/>\n<meta property=\"og:description\" content=\"This year&#8217;s winter school is taking place on Jan 19-23, 2026. All information, including lecture notes, recordings will be available on the course homepage: https:\/\/www.ibs.re.kr\/ecopro\/winter-2026\/ Lecturer: Eero R\u00e4ty (IBS ECOPRO) &hellip; Continue reading &quot;Winter school 2026&quot;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ibs.re.kr\/ecopro\/winter-school-2026\/\" \/>\n<meta property=\"og:site_name\" content=\"Extremal Combinatorics and Probability Group\" \/>\n<meta property=\"article:published_time\" content=\"2026-01-06T06:48:08+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-23T07:42:38+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2026\/01\/ScreenShot_2026-01-06_155037_294.png\" \/>\n\t<meta property=\"og:image:width\" content=\"948\" \/>\n\t<meta property=\"og:image:height\" content=\"1050\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"hongliu\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"hongliu\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.ibs.re.kr\\\/ecopro\\\/winter-school-2026\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.ibs.re.kr\\\/ecopro\\\/winter-school-2026\\\/\"},\"author\":{\"name\":\"hongliu\",\"@id\":\"https:\\\/\\\/www.ibs.re.kr\\\/ecopro\\\/#\\\/schema\\\/person\\\/b15c45bc637713210e2a137ecfa617b1\"},\"headline\":\"Winter school 2026\",\"datePublished\":\"2026-01-06T06:48:08+00:00\",\"dateModified\":\"2026-02-23T07:42:38+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.ibs.re.kr\\\/ecopro\\\/winter-school-2026\\\/\"},\"wordCount\":135,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/www.ibs.re.kr\\\/ecopro\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/www.ibs.re.kr\\\/ecopro\\\/winter-school-2026\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.ibs.re.kr\\\/ecopro\\\/wp-content\\\/uploads\\\/2026\\\/01\\\/ScreenShot_2026-01-06_155037_294.png\",\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.ibs.re.kr\\\/ecopro\\\/winter-school-2026\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.ibs.re.kr\\\/ecopro\\\/winter-school-2026\\\/\",\"url\":\"https:\\\/\\\/www.ibs.re.kr\\\/ecopro\\\/winter-school-2026\\\/\",\"name\":\"Winter school 2026 - 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