{"id":1504,"date":"2019-06-03T13:25:19","date_gmt":"2019-06-03T10:25:19","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1504"},"modified":"2019-06-10T13:19:22","modified_gmt":"2019-06-10T10:19:22","slug":"colloquium-tuesday-june-4-2019-speaker-emily-stark-technion-title-the-geometry-of-hyperbolic-groups","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1504","title":{"rendered":"Colloquium: Tuesday, June 4, 2019. Speaker: Emily Stark (Technion). Title: &#8220;The geometry of hyperbolic groups&#8221;."},"content":{"rendered":"<p>&nbsp;<\/p>\n<p>Place:\u00a0Room 614 in the Education &amp; Sciences Building<\/p>\n<p>Time:\u00a0<strong>14:00<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p><strong><u>Abstract<\/u><\/strong><strong><u>:<\/u><\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>Hyperbolic manifolds play an important role in geometry and topology, and in the 1980s Gromov introduced a notion of large-scale negative curvature that is strong enough to capture many salient features of these manifolds, yet broad enough to apply in a more coarse setting. In this talk, I will discuss groups that have negative curvature in the sense of Gromov. Viewing finitely generated groups as geometric objects offers a powerful perspective because groups that have a similar large-scale geometry often share common algebraic structure. I will present examples that arise naturally in low-dimensional topology, such as surface amalgams and free-by-cyclic groups, which includes joint work with Yael Algom-Kfir, Arnaud Hilion, and Daniel Woodhouse.<\/p>\n<p>Tea will be served before the talk (at <strong>13:50<\/strong>).<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Place:\u00a0Room 614 in the Education &amp; Sciences Building Time:\u00a014:00 &nbsp; Abstract: &nbsp; Hyperbolic manifolds play an important role in geometry and topology, and in the 1980s Gromov introduced a notion of large-scale negative curvature that is strong enough to&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=1504\">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":[7],"tags":[],"class_list":["post-1504","post","type-post","status-publish","format-standard","hentry","category-colloquium"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1504","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=1504"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1504\/revisions"}],"predecessor-version":[{"id":1505,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1504\/revisions\/1505"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1504"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1504"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1504"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}