{"id":4750,"date":"2024-07-07T11:08:13","date_gmt":"2024-07-07T02:08:13","guid":{"rendered":"https:\/\/www.ibs.re.kr\/ecopro\/?p=4750"},"modified":"2024-07-07T11:08:14","modified_gmt":"2024-07-07T02:08:14","slug":"summer-school-2024","status":"publish","type":"post","link":"https:\/\/www.ibs.re.kr\/ecopro\/summer-school-2024\/","title":{"rendered":"Summer school 2024"},"content":{"rendered":"\n<p>This year&#8217;s summer school again consists of two parts.  All information, including lecture notes, recordings will be available on the course homepage: <a href=\"https:\/\/www.ibs.re.kr\/ecopro\/summer-2024\/\">https:\/\/www.ibs.re.kr\/ecopro\/summer-2024\/<\/a><\/p>\n\n\n\n<p>Week 1: July 29 &#8212; August 2<\/p>\n\n\n\n<p>Lecturer: Boris Bukh (CMU)<\/p>\n\n\n\n<p>Title: Algebraic methods in combinatorics<br>Description: The aim of this lecture series is to introduce algebraic proof techinques in extremal combinatorics. Three main topics will be covered: polynomial interpolation, slice rank and algebraic geometry constructions. Depending on pacing and audience&#8217;s wishes, towards the end, we might discuss other recent topics of interest.<\/p>\n\n\n\n<p>Week 2: August 5 &#8212; August 9<\/p>\n\n\n\n<p>Lecturer: Tung Nguyen (Princeton)<\/p>\n\n\n\n<p>Title: Recent work on the Erd\u0151s\u2013Hajnal conjecture<\/p>\n\n\n\n<p>Abstract: A conjecture of Erd\u0151s and Hajnal asserts that every graph with a forbidden induced subgraph contains a clique or independent set of polynomial size. We will discuss recent work on this conjecture (joint with Alex Scott and Paul Seymour, and partly with Matija Buci\u0107), which includes the loglog improvement over the general bound of Erd\u0151s and Hajnal,&nbsp;R\u00f6dl&#8217;s theorem and the polynomial R\u00f6dl property,&nbsp;and the method of iterative sparsification with application to prime graphs and graphs of bounded VC-dimension.<\/p>\n\n\n\n<div class=\"wp-block-stackable-image stk-block-image stk-block stk-c5dc553\" data-block-id=\"c5dc553\"><figure><span class=\"stk-img-wrapper stk-image--shape-stretch\"><img loading=\"lazy\" decoding=\"async\" class=\"stk-img wp-image-4730\" src=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2024\/06\/ECOPRO-Summer2024-scaled.jpg\" width=\"1810\" height=\"2560\" srcset=\"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2024\/06\/ECOPRO-Summer2024-scaled.jpg 1810w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2024\/06\/ECOPRO-Summer2024-212x300.jpg 212w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2024\/06\/ECOPRO-Summer2024-724x1024.jpg 724w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2024\/06\/ECOPRO-Summer2024-768x1086.jpg 768w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2024\/06\/ECOPRO-Summer2024-1086x1536.jpg 1086w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2024\/06\/ECOPRO-Summer2024-1448x2048.jpg 1448w, https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2024\/06\/ECOPRO-Summer2024-283x400.jpg 283w\" sizes=\"auto, (max-width: 767px) 89vw, (max-width: 1000px) 54vw, (max-width: 1071px) 543px, 580px\" \/><\/span><\/figure><\/div>\n","protected":false},"excerpt":{"rendered":"<p>This year&#8217;s summer school again consists of two parts. All information, including lecture notes, recordings will be available on the course homepage: https:\/\/www.ibs.re.kr\/ecopro\/summer-2024\/ Week 1: July 29 &#8212; August 2 &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.ibs.re.kr\/ecopro\/summer-school-2024\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Summer school 2024&#8221;<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":4733,"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":"0","_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":[34],"tags":[96,97],"class_list":["post-4750","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-event","tag-boris-bukh","tag-tung-nguyen"],"featured_image_src":"https:\/\/www.ibs.re.kr\/ecopro\/wp-content\/uploads\/2024\/06\/summer.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>Summer school 2024 - 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\/summer-school-2024\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Summer school 2024 - Extremal Combinatorics and Probability Group\" \/>\n<meta property=\"og:description\" content=\"This year&#8217;s summer school again consists of two parts. 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