{"id":438,"date":"2013-10-23T16:24:03","date_gmt":"2013-10-23T20:24:03","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/boyland\/?page_id=438"},"modified":"2026-03-19T08:10:29","modified_gmt":"2026-03-19T12:10:29","slug":"david-sherman","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/boyland\/colloquium-fall-2013\/david-sherman\/","title":{"rendered":"David Sherman"},"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\">David Sherman<\/h1>\n\n\n\n<p><strong>Speaker:<\/strong> David Sherman, University of Virgina<\/p>\n\n\n\n\n\n<p><span style=\"font-size: small\"><strong>Title<\/strong>: Model theory for functional analysis<\/span><\/p>\n\n\n\n\n\n<p><strong>Abstract<\/strong>: Model theory studies the interplay between mathematical structures and their logical properties.\u00a0 Some of its most beautiful theorems involve a construction called an ultrapower.\u00a0 Many standard objects in functional analysis, such as Banach spaces and operator algebras, carry useful notions of ultrapower, but this does not interact well with classical model theory.\u00a0 An elegant recent solution, very natural for analysts, is to switch to a logic in which truth values are drawn from the interval [0,1].\u00a0 I will give a &#8220;big picture&#8221; survey of this approach and its prehistory, not assuming that the audience has any familiarity with logic or ultrapowers.<\/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":221,"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-438","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/438","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=438"}],"version-history":[{"count":3,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/438\/revisions"}],"predecessor-version":[{"id":4064,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/438\/revisions\/4064"}],"up":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/221"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/media?parent=438"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}