{"id":55619,"date":"2023-11-21T19:59:45","date_gmt":"2023-11-21T14:29:45","guid":{"rendered":"https:\/\/pwonlyias.com\/stage\/?post_type=current-affairs&#038;p=55619"},"modified":"2023-11-22T18:26:56","modified_gmt":"2023-11-22T12:56:56","slug":"langlands-program","status":"publish","type":"current-affairs","link":"https:\/\/pwonlyias.com\/stage\/current-affairs\/langlands-program","title":{"rendered":"Langlands Program"},"content":{"rendered":"<h2><b><span style=\"font-size: 18pt;\">Context:<\/span> <\/b><\/h2>\n<ul>\n<li><span style=\"font-weight: 400;\">The Langlands program provides a beautifully intricate set of connections between various areas of mathematics, pointing the way toward novel solutions for old problems.<\/span><\/li>\n<\/ul>\n<h2><span style=\"font-size: 18pt;\"><b>What is Langlands program?<\/b><\/span><\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">The Langlands program is <\/span><b>named after Robert Langlands, a mathematician<\/b><span style=\"font-weight: 400;\"> at the Institute for Advanced Study in Princeton.<\/span>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><b>In 2018, he was awarded the Abel Prize<\/b><span style=\"font-weight: 400;\">, one of the most prestigious awards in mathematics, for his program, which was described as \u201cvisionary.\u201d<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">This program was set in <\/span><b>motion in 1967.<\/b><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Program is an attempt to find connections between <\/span><b>two far-flung areas of mathematics: number theory and harmonic analysis.<\/b>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><b>Number theory: It<\/b><span style=\"font-weight: 400;\"> is the arithmetic study of numbers and the relationships between them.\u00a0<\/span>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"3\"><span style=\"font-weight: 400;\">A famous example of such a relationship is the Pythagoras theorem: a<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> + b<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\"> = c<\/span><span style=\"font-weight: 400;\">2<\/span><span style=\"font-weight: 400;\">.<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"2\"><b>Harmonic analysis: <\/b><span style=\"font-weight: 400;\">It is interested in the study of periodic phenomena. Unlike number theorists, who deal with discrete arithmetics (like integers), harmonic analysts deal with mathematical objects more continuous in nature (like waves).<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><b>News Source: <\/b><a href=\"https:\/\/www.thehindu.com\/sci-tech\/science\/what-is-the-langlands-program-explained\/article67550905.ece\" target=\"_blank\" rel=\"nofollow noopener\"><b>The Hindu<\/b><\/a><\/p>\n<p>\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Context: The Langlands program provides a beautifully intricate set of connections between various areas of mathematics, pointing the way toward novel solutions for old problems.<\/p>\n","protected":false},"author":11,"featured_media":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","format":"standard","meta":{"rank_math_lock_modified_date":false,"footnotes":""},"tags":[],"paper-wise":[2089],"subject":[2092],"acf":[],"_links":{"self":[{"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/current-affairs\/55619"}],"collection":[{"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/current-affairs"}],"about":[{"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/types\/current-affairs"}],"author":[{"embeddable":true,"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/comments?post=55619"}],"version-history":[{"count":3,"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/current-affairs\/55619\/revisions"}],"predecessor-version":[{"id":55928,"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/current-affairs\/55619\/revisions\/55928"}],"wp:attachment":[{"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/media?parent=55619"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/tags?post=55619"},{"taxonomy":"paper-wise","embeddable":true,"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/paper-wise?post=55619"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/pwonlyias.com\/stage\/wp-json\/wp\/v2\/subject?post=55619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}