{"id":2246,"date":"2021-12-23T18:01:23","date_gmt":"2021-12-23T16:01:23","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2246"},"modified":"2021-12-30T12:18:07","modified_gmt":"2021-12-30T10:18:07","slug":"u-haifa-topology-geometry-seminar-sunday-dec-26-2021-speaker-speaker-daniel-kaner-u-haifa-title-condensed-mathematics","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2246","title":{"rendered":"U. Haifa Topology &#038; Geometry seminar: Sunday, Dec. 26, 2021. Speaker: Daniel Kaner (U. Haifa). &#8220;Title: Condensed mathematics&#8221;"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Time: <\/strong>Sunday Dec 26, 2021, 17:00 (Israel Time)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Location: <\/strong>On Zoom<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Speaker: <\/strong>Daniel Kaner (U. Haifa)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Title:<\/strong> Condensed mathematics.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>ZOOM COORDINATES:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/us02web.zoom.us\/j\/84987591026?pwd=aTJWcFlOSldKck5leGt2d25CYkRqZz09\">https:\/\/us02web.zoom.us\/j\/84987591026?pwd=aTJWcFlOSldKck5leGt2d25CYkRqZz09<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Meeting ID: 849 8759 1026<br><br>Recording:<br><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/us02web.zoom.us\/rec\/share\/OVXg3b1h30WaEThTuyX1RTOC85Ee42zQrxdl6XzZhP_OywAe_UGYG1mlUENPznLR.ddk5ZtYnmlh5A17E\">https:\/\/us02web.zoom.us\/rec\/share\/OVXg3b1h30WaEThTuyX1RTOC85Ee42zQrxdl6XzZhP_OywAe_UGYG1mlUENPznLR.ddk5ZtYnmlh5A17E<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A&nbsp;<em>condensed set<\/em>&nbsp;is a sheaf&nbsp;of sets&nbsp;on the&nbsp;category of profinite spaces (with an appropriate notion of covers) which is a colimit of representables. These are the basic objects of <em>condensed mathematics<\/em>, &nbsp;a new point of view due to Dustin Clausen and Peter Scholze, intended to a convenient setting for working with algebraic objects equipped with a natural topology (e.g., Banach algebras).&nbsp; In particular, this allows for a unification of analytic with algebraic geometry.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Time: Sunday Dec 26, 2021, 17:00 (Israel Time) Location: On Zoom Speaker: Daniel Kaner (U. Haifa) Title: Condensed mathematics. ZOOM COORDINATES: https:\/\/us02web.zoom.us\/j\/84987591026?pwd=aTJWcFlOSldKck5leGt2d25CYkRqZz09 Meeting ID: 849 8759 1026 Recording: https:\/\/us02web.zoom.us\/rec\/share\/OVXg3b1h30WaEThTuyX1RTOC85Ee42zQrxdl6XzZhP_OywAe_UGYG1mlUENPznLR.ddk5ZtYnmlh5A17E A&nbsp;condensed set&nbsp;is a sheaf&nbsp;of sets&nbsp;on the&nbsp;category of profinite spaces (with an&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2246\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,4],"tags":[],"class_list":["post-2246","post","type-post","status-publish","format-standard","hentry","category-gt-seminar","category-seminar"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2246","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2246"}],"version-history":[{"count":4,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2246\/revisions"}],"predecessor-version":[{"id":2255,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2246\/revisions\/2255"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2246"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2246"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2246"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}