{"id":841,"date":"2024-02-16T14:28:23","date_gmt":"2024-02-16T22:28:23","guid":{"rendered":"\/wp\/hades\/?p=841"},"modified":"2024-02-16T14:28:23","modified_gmt":"2024-02-16T22:28:23","slug":"resonances-on-hyperbolic-surfaces-and-berkovich-space","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/hades\/2024\/02\/16\/resonances-on-hyperbolic-surfaces-and-berkovich-space\/","title":{"rendered":"Resonances on hyperbolic surfaces&#8230; and Berkovich space"},"content":{"rendered":"\n\t\t\t\t\n<p> The HADES seminar on Tuesday, <strong>February 20th<\/strong>, will be at <strong>3:30pm<\/strong>\u00a0in\u00a0<strong>Room 939.<\/strong><\/p>\n\n\n\n<p><strong>Speaker: <\/strong><a href=\"https:\/\/math.berkeley.edu\/~ztao\/\">Zhongkai Tao<\/a><\/p>\n\n\n\n<p><strong>Abstract<\/strong>: <em>Hyperbolic surfaces<\/em> are surfaces with constant negative curvature -1. They appear in many places: number theory, PDE, geometry, and topology&#8230; and they have many special properties. Despite a lot of studies and efforts put into this subject, the spectral theory of hyperbolic surfaces remains mysterious, especially in the infinite volume case. I will introduce some basic notions of the spectral theory on hyperbolic surfaces, and advertise some open problems. Then I will talk about recent developments on <em>degeneration<\/em>\u00a0of hyperbolic surfaces, which uses some new tools from non-Archimedean geometry, and how this would potentially help us understand hyperbolic surfaces. <\/p>\n\t\t","protected":false},"excerpt":{"rendered":"<p>The HADES seminar on Tuesday, February 20th, will be at 3:30pm\u00a0in\u00a0Room 939. Speaker: Zhongkai Tao Abstract: Hyperbolic surfaces are surfaces with constant negative curvature -1. They appear in many places: number theory, PDE, geometry, and topology&#8230; and they have many special properties. Despite a lot of studies and efforts put into this subject, the spectral [&hellip;]<\/p>\n","protected":false},"author":87,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-841","post","type-post","status-publish","format-standard","hentry","category-spring-2024"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/841","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/users\/87"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/comments?post=841"}],"version-history":[{"count":0,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/posts\/841\/revisions"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/media?parent=841"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/categories?post=841"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/hades\/wp-json\/wp\/v2\/tags?post=841"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}