{"id":10243,"date":"2023-10-19T19:58:06","date_gmt":"2023-10-19T17:58:06","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/projective-absoluteness-from-strong-cardinals-cesare-straffellini-universitat-de-barcelona\/"},"modified":"2023-10-19T22:08:22","modified_gmt":"2023-10-19T20:08:22","slug":"projective-absoluteness-from-strong-cardinals-cesare-straffellini-universitat-de-barcelona","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/projective-absoluteness-from-strong-cardinals-cesare-straffellini-universitat-de-barcelona\/","title":{"rendered":"Projective Absoluteness from Strong Cardinals &#8211; Cesare Straffelini (Universitat de Barcelona)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Dipartimento di Matematica, Aula Riunioni.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<p>We will give a proof of an unpublished theorem by Hugh Woodin, which states that if there is a proper class of strong cardinals, then by L\u00e9vy collapsing the universe we can find a model of ZFC which is projective absolute under set forcing. This, together with a famous result by Kai Hauser, implies the equiconsistency of the theories &#8220;ZFC + Projective Absoluteness&#8221; and &#8220;ZFC + there are omega-many Strong Cardinals&#8221;.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/220\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We will give a proof of an unpublished theorem by Hugh Woodin, which states that if there is a proper class of strong cardinals, then by L\u00e9vy collapsing the universe we can find a model of ZFC which is projective absolute under set forcing. This,&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/projective-absoluteness-from-strong-cardinals-cesare-straffellini-universitat-de-barcelona\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-10243","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1698318000,"unipievents_enddate":1698321600,"unipievents_place":"Dipartimento di Matematica, Aula Riunioni.","unipievents_externalid":220,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10243","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":1,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10243\/revisions"}],"predecessor-version":[{"id":10244,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/10243\/revisions\/10244"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=10243"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=10243"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=10243"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}