{"id":1009,"date":"2025-04-17T18:37:23","date_gmt":"2025-04-17T18:37:23","guid":{"rendered":"https:\/\/as.vanderbilt.edu\/math\/?p=1009"},"modified":"2025-09-04T15:44:20","modified_gmt":"2025-09-04T15:44:20","slug":"colloquium-talk-by-mark-de-cataldo-april-17-2025","status":"publish","type":"post","link":"https:\/\/as.vanderbilt.edu\/math\/2025\/04\/17\/colloquium-talk-by-mark-de-cataldo-april-17-2025\/","title":{"rendered":"Colloquium &#8211; Talk by Mark de Cataldo: April 17, 2025"},"content":{"rendered":"<p><span class=\"datetime\">April 17, 2025 (Thursday), 4:10 pm<\/span><\/p>\n<p>Mark de Cataldo, Stony Brook University<\/p>\n<p class=\"x_elementToProof\"><strong>The P=W Conjecture in Non Abelian Hodge Theory<\/strong><\/p>\n<div class=\"x_elementToProof\">The classical de Rham and the Hodge Decomposition theorems deal with the singular cohomology of a projective manifold with coefficients in the non-zero complex numbers C*. Non abelian Hodge theory seeks to generalize this picture, with complex reductive groups, such as the general linear group, playing the role of the abelian C*. Instead of cohomology groups, we obtain complex algebraic varieties and their singular cohomology groups carry additional structures. The P=W Conjecture seeks to relate two of these non-classical structures. This talk is devoted to introducing the audience to this circle of ideas and related developments.<\/div>\n<div><\/div>\n<div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>April 17, 2025 (Thursday), 4:10 pm Mark de Cataldo, Stony Brook University The P=W Conjecture in Non Abelian Hodge Theory The classical de Rham and the Hodge Decomposition theorems deal with the singular cohomology of a projective manifold with coefficients in the non-zero complex numbers C*. Non abelian Hodge theory seeks to generalize this picture,&#8230;<\/p>\n","protected":false},"author":193,"featured_media":754,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[7],"tags":[],"acf":[],"jetpack_featured_media_url":"https:\/\/as.vanderbilt.edu\/math\/wp-content\/uploads\/sites\/69\/2024\/08\/colloquium.png","_links":{"self":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/1009"}],"collection":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/users\/193"}],"replies":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/comments?post=1009"}],"version-history":[{"count":2,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/1009\/revisions"}],"predecessor-version":[{"id":1011,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/1009\/revisions\/1011"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media\/754"}],"wp:attachment":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media?parent=1009"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/categories?post=1009"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/tags?post=1009"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}