{"id":2197,"date":"2021-11-12T11:11:38","date_gmt":"2021-11-12T09:11:38","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2197"},"modified":"2021-11-18T13:33:15","modified_gmt":"2021-11-18T11:33:15","slug":"u-haifa-topology-geometry-seminar-sunday-nov-14-2021-speaker-edgar-bering-iv-technion-title-topological-models-of-abstract-commeasurators","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2197","title":{"rendered":"U. Haifa Topology &#038; Geometry seminar: Sunday, NOV 14, 2021. Speaker: Edgar Bering IV (Technion). &#8220;Title:\u00a0 Topological Models of Abstract Commeasurators&#8221;"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Time: <\/strong>Sunday, Nov, 14 at 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\">Recording:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/us02web.zoom.us\/rec\/share\/5KZWjr3mjh7ltmMa2ijysTj_WKFy8JBOOku8XFclUB3xibnXenLooKeN3Tp0ORw.EGSolWYiClpROhFg\">https:\/\/us02web.zoom.us\/rec\/share\/5KZWjr3mjh7ltmMa2ijysTj_WKFy8JBOOku8XFclUB3xibnXenLooKeN3Tp0ORw.EGSolWYiClpROhFg<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Abstract:<\/strong>&nbsp; Given a group G, an Eilenberg-MacLane space X = K(G,1) provides a topological model of both G and Aut(G). The latter is understood via Whitehead\u2019s theorem as the group of pointed homotopy equivalences of X up to homotopy. When X has rich structure, such as the case of a closed surface group, this point of view leads to a rich understanding of Aut(G). Motivated by dynamics and mathematical physics, Biswas, Nag, and Sullivan initiated the study of the universal hyperbolic solenoid, the inverse limit of all finite covers of a closed surface of genus at least two. Following their work, Odden proved that the mapping class group of the universal hyperbolic solenoid is isomorphic to the abstract commensurator of a closed surface group. In this talk I will present a general topological analog of Odden\u2019s theorem, realising Comm(G) as a group of homotopy equivalences of a space for any group of type F. I will then apply this result to the commensurator of a finite-rank free group. This is joint work with Daniel Studenmund.<\/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<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Time: Sunday, Nov, 14 at 17:00 (Israel Time) Location: On Zoom Recording: https:\/\/us02web.zoom.us\/rec\/share\/5KZWjr3mjh7ltmMa2ijysTj_WKFy8JBOOku8XFclUB3xibnXenLooKeN3Tp0ORw.EGSolWYiClpROhFg Abstract:&nbsp; Given a group G, an Eilenberg-MacLane space X = K(G,1) provides a topological model of both G and Aut(G). The latter is understood via Whitehead\u2019s theorem&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2197\">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-2197","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\/2197","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=2197"}],"version-history":[{"count":2,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2197\/revisions"}],"predecessor-version":[{"id":2201,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2197\/revisions\/2201"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2197"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2197"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2197"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}