{"id":125821,"date":"2021-08-04T13:23:12","date_gmt":"2021-08-04T20:23:12","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2021\/08\/new-shape-opens-wormhole-between-numbers-and-geometry"},"modified":"2021-08-04T13:23:12","modified_gmt":"2021-08-04T20:23:12","slug":"new-shape-opens-wormhole-between-numbers-and-geometry","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2021\/08\/new-shape-opens-wormhole-between-numbers-and-geometry","title":{"rendered":"New Shape Opens \u2018Wormhole\u2019 Between Numbers and Geometry"},"content":{"rendered":"<p><\/p>\n<p><iframe style=\"display: block; margin: 0 auto; width: 100%; aspect-ratio: 4\/3; object-fit: contain;\" src=\"https:\/\/www.youtube.com\/embed\/zlm1aajH6gY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope;\n   picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>Mathematicians have proved that a geometric object called the Fargues-Fontaine curve can connect arithmetic and geometry. The work is a major advance in one of the most ambitious projects in mathematics.<\/p>\n<hr>\n<p>The grandest project in mathematics has received a rare gift, in the form of a mammoth 350-page paper <a href=\"https:\/\/arxiv.org\/abs\/2102.13459\">posted in February<\/a> that will change the way researchers around the world investigate some of the field\u2019s deepest questions. The work fashions a new geometric object that fulfills a bold, once fanciful dream about the relationship between geometry and numbers.<\/p>\n<p>\u201cThis truly opens up a tremendous amount of possibilities. Their methods and constructions are so new they\u2019re just waiting to be explored,\u201d said <a href=\"http:\/\/www-personal.umich.edu\/~kaletha\/\">Tasho Kaletha<\/a> of the University of Michigan.<\/p>\n<p>The work is a collaboration between <a href=\"https:\/\/webusers.imj-prg.fr\/~laurent.fargues\/\">Laurent Fargues<\/a> of the Institute of Mathematics of Jussieu in Paris and <a href=\"http:\/\/www.math.uni-bonn.de\/people\/scholze\/\">Peter Scholze<\/a> of the University of Bonn. It opens a new front in the long-running \u201cLanglands program,\u201d which seeks to link disparate branches of mathematics \u2014 like calculus and geometry \u2014 to answer some of the most fundamental questions about numbers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mathematicians have proved that a geometric object called the Fargues-Fontaine curve can connect arithmetic and geometry. The work is a major advance in one of the most ambitious projects in mathematics. The grandest project in mathematics has received a rare gift, in the form of a mammoth 350-page paper posted in February that will change [\u2026]<\/p>\n","protected":false},"author":642,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[33,2229],"tags":[],"class_list":["post-125821","post","type-post","status-publish","format-standard","hentry","category-cosmology","category-mathematics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/125821","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/642"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=125821"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/125821\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=125821"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=125821"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=125821"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}