{"id":14943,"date":"2025-06-22T10:00:00","date_gmt":"2025-06-22T10:00:00","guid":{"rendered":"https:\/\/modernsciences.org\/staging\/4414\/?p=14943"},"modified":"2025-06-13T09:42:56","modified_gmt":"2025-06-13T09:42:56","slug":"geometric-langlands-conjecture-proof-june-2025","status":"publish","type":"post","link":"https:\/\/modernsciences.org\/staging\/4414\/geometric-langlands-conjecture-proof-june-2025\/","title":{"rendered":"The 800-Page Proof That Took 30 Years to Write"},"content":{"rendered":"\n<figure class=\"wp-embed-aspect-16-9 wp-has-aspect-ratio wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"One Step Closer to a &#039;Grand Unified Theory of Math&#039;: Geometric Langlands\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/xuLCPv6smwo?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p class=\"\">For 30 years, mathematicians have chased a &#8220;tasty&#8221; problem that promised to unite all of math. Now, they&#8217;ve done it; this is the story of the monumental 800-page proof for the geometric Langlands conjecture. This breakthrough uses the logic of music to build a &#8220;Grand Unified Theory&#8221; and reveal the hidden connections within the mathematical universe.<\/p>\n\n\n\n<p class=\"\"><\/p>\n\n\n\n<p class=\"\"><\/p>\n","protected":false},"excerpt":{"rendered":"Inspired by how a symphony breaks down into pure notes, a landmark 30-year proof finally reveals a hidden structure that connects mathematics&#8217;s vast and disparate worlds.\n","protected":false},"author":4,"featured_media":14946,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"video","meta":{"nf_dc_page":"","fifu_image_url":"https:\/\/images.pexels.com\/photos\/240163\/pexels-photo-240163.jpeg?auto=compress&cs=tinysrgb&w=1260&h=750&dpr=2","fifu_image_alt":"","footnotes":""},"categories":[17,14],"tags":[12673,12671,12674,12668,12672,12676,12663,636,12666,12669,12664,12681,12667,3237,12675,12678,948,12677,12665,12679,12670,12680,189],"class_list":{"0":"post-14943","1":"post","2":"type-post","3":"status-publish","4":"format-video","5":"has-post-thumbnail","7":"category-math-and-the-sciences","8":"category-space","9":"tag-abstract-algebra","10":"tag-advanced-mathematics","11":"tag-andrew-wiles","12":"tag-dennis-gaitsgory","13":"tag-eigensheaves","14":"tag-fermats-last-theorem","15":"tag-fourier-analysis","16":"tag-fourier-transform","17":"tag-geometric-langlands-conjecture","18":"tag-grand-unified-theory-of-mathematics","19":"tag-langlands-program-explained","20":"tag-math-and-music-analogy","21":"tag-math-proof","22":"tag-number-theory","23":"tag-poincare-sheaf","24":"tag-pure-mathematics","25":"tag-quanta-magazine","26":"tag-robert-langlands","27":"tag-sam-raskin","28":"tag-sheaves","29":"tag-symmetry-in-math","30":"tag-what-is-the-langlands-program","31":"tag-youtube","32":"post_format-post-format-video","33":"cs-entry","34":"cs-video-wrap"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/modernsciences.org\/staging\/4414\/wp-json\/wp\/v2\/posts\/14943","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/modernsciences.org\/staging\/4414\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/modernsciences.org\/staging\/4414\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/modernsciences.org\/staging\/4414\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/modernsciences.org\/staging\/4414\/wp-json\/wp\/v2\/comments?post=14943"}],"version-history":[{"count":1,"href":"https:\/\/modernsciences.org\/staging\/4414\/wp-json\/wp\/v2\/posts\/14943\/revisions"}],"predecessor-version":[{"id":14945,"href":"https:\/\/modernsciences.org\/staging\/4414\/wp-json\/wp\/v2\/posts\/14943\/revisions\/14945"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/modernsciences.org\/staging\/4414\/wp-json\/wp\/v2\/media\/14946"}],"wp:attachment":[{"href":"https:\/\/modernsciences.org\/staging\/4414\/wp-json\/wp\/v2\/media?parent=14943"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/modernsciences.org\/staging\/4414\/wp-json\/wp\/v2\/categories?post=14943"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/modernsciences.org\/staging\/4414\/wp-json\/wp\/v2\/tags?post=14943"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}