{"id":418,"date":"2016-01-06T13:38:12","date_gmt":"2016-01-06T11:38:12","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=418"},"modified":"2016-01-13T22:18:24","modified_gmt":"2016-01-13T20:18:24","slug":"colloquium-tuesday-january-12-2-pm-speaker-yaron-ostrover-tel-aviv-title-from-symplectic-measurements-to-mahlers-conjecture-via-billiard-dynamics","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=418","title":{"rendered":"Colloquium: Tuesday, January 12, 2 pm. Speaker: Yaron Ostrover (Tel Aviv) . Title: &#8220;From symplectic measurements to Mahler&#8217;s conjecture via billiard dynamics&#8221;."},"content":{"rendered":"<p>We shall discuss certain symplectic invariants known as symplectic capacities.<br \/>\nIn particular, we will show how these invariants in the classical phase space can be used to<br \/>\nobtain information on the length of the shortest periodic billiard trajectory in a smooth convex<br \/>\ndomain, and how a symplectic isoperimetric conjecture by Viterbo is related to a 70-years old<br \/>\nopen conjecture by Mahler regarding the volume product of convex sets. Based on a joint work<br \/>\nwith Shiri Artstein-Avidan and Roman Karasev. No prior knowledge of symplectic geometry<br \/>\nwill be required.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We shall discuss certain symplectic invariants known as symplectic capacities. In particular, we will show how these invariants in the classical phase space can be used to obtain information on the length of the shortest periodic billiard trajectory in a&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=418\">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-418","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\/418","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=418"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/418\/revisions"}],"predecessor-version":[{"id":419,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/418\/revisions\/419"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=418"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=418"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=418"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}