{"id":1427,"date":"2018-01-25T20:25:35","date_gmt":"2018-01-26T01:25:35","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/boyland\/?page_id=1427"},"modified":"2026-03-19T08:10:27","modified_gmt":"2026-03-19T12:10:27","slug":"luca-dicerbo","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/boyland\/luca-dicerbo\/","title":{"rendered":"Luca Dicerbo"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Luca Dicerbo<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Negatively curved manifolds, Betti Numbers, and Singer Conjecture<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Abstract: The study of negatively curved manifolds is at the crossroads of modern geometry and topology. In this talk, I will present new ideas and techniques for studying the cohomology of such manifolds. More precisely, I will discuss the asymptotic growth rate of Betti numbers in towers of hyperbolic manifolds, and general vanishing results for Atiyah&#8217;s L2-Betti numbers. Finally, I will explain the connection between such results and the longstanding Singer&#8217;s conjecture. This is an overview of two joint projects with M. Stern.<\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":146,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-1427","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/1427","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/users\/146"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/comments?post=1427"}],"version-history":[{"count":2,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/1427\/revisions"}],"predecessor-version":[{"id":3966,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/1427\/revisions\/3966"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/media?parent=1427"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}