{"id":1390,"date":"2019-03-04T13:37:27","date_gmt":"2019-03-04T11:37:27","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1390"},"modified":"2019-03-18T19:11:47","modified_gmt":"2019-03-18T17:11:47","slug":"this-thursday-at-u-haifa-topology-geometry-seminar-on-march-7-2019-at-1210","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1390","title":{"rendered":"This Thursday at U. Haifa Topology &#038; Geometry seminar on March 7, 2019 at 12:10"},"content":{"rendered":"<p><strong><u>Geometry\u00a0&amp; Topology Seminar<\/u><\/strong><\/p>\n<p>Speaker:\u00a0\u00a0Alex Margolis (Technion)<\/p>\n<p>Topic:\u00a0\u00a0\u00a0Quasi-isometric rigidity of groups containing almost normal<\/p>\n<p>subgroups<\/p>\n<p>Place:\u00a0\u00a0\u00a0 room 614 in the Science &amp; Education Building<\/p>\n<p>Time\u00a0 \u00a012:10<\/p>\n<p>Date:\u00a0 Thursday, March 7, 2019<\/p>\n<p>&nbsp;<\/p>\n<p><strong><u>Abstract<\/u><\/strong><strong><u>:<\/u><\/strong><\/p>\n<p style=\"font-weight: 400;\">A goal of geometric group theory is to understand to what extent the<br \/>\nlarge scale geometry of a finitely generated group determines its<br \/>\nalgebraic structure. A subgroup H of G is said to be almost normal if<br \/>\nevery conjugate of H is commensurable to H. If G is finitely generated<br \/>\nand H is almost normal, then G can be thought of as a coarse bundle<br \/>\nover the coset space G\/H. We show that quasi-isometries frequently<br \/>\npreserve almost normal subgroups and the associated coarse bundle<br \/>\nstructure. A sample application is the following: any finitely<br \/>\npresented group quasi-isometric to a Z-by-(\u221e ended) group is also Z-by-<br \/>\n(\u221e ended). We make use of the notion of relative ends due to Kropholler<br \/>\nand Roller. Our results build on work of Dunwoody and Mosher-Sageev-<br \/>\nWhyte.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Geometry\u00a0&amp; Topology Seminar Speaker:\u00a0\u00a0Alex Margolis (Technion) Topic:\u00a0\u00a0\u00a0Quasi-isometric rigidity of groups containing almost normal subgroups Place:\u00a0\u00a0\u00a0 room 614 in the Science &amp; Education Building Time\u00a0 \u00a012:10 Date:\u00a0 Thursday, March 7, 2019 &nbsp; Abstract: A goal of geometric group theory is to&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=1390\">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-1390","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\/1390","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=1390"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1390\/revisions"}],"predecessor-version":[{"id":1391,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1390\/revisions\/1391"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1390"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1390"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1390"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}