{"id":3159,"date":"2026-06-23T12:49:26","date_gmt":"2026-06-23T09:49:26","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=3159"},"modified":"2026-06-23T12:49:26","modified_gmt":"2026-06-23T09:49:26","slug":"colloquium-june-23-2026-1400-room-614-speaker-michael-brandenbursky-ben-gurion-title-lp-metrics-on-diffeomorphism-groups-old-and-new-results","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=3159","title":{"rendered":"Colloquium: June 23, 2026 (14:00, room 614). Speaker: Michael Brandenbursky (Ben Gurion). Title: &#8220;Lp-metrics on diffeomorphism groups: old and new results&#8221;."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Invariant metrics appear in most branches of mathematics. Examples include word metrics (entropy, fragmentation) and non-discrete metrics (Hofer norm and Lp) in symplectic, differential geometries and dynamics. In group theory examples include commutator length and primitive length. After providing some history and motivation, I will focus on a group G of volume-preserving diffeomorphisms of a compact smooth orientable manifold. In particular, I will discuss Lp-geometry of this group and which groups can be quasi-isometrically embedded in G. In addition, if time permits I will talk about the space of curves on M and its Lp-geometry.This talk is based on joint works with M. Marcinkowski and E. Shelukhin.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Invariant metrics appear in most branches of mathematics. Examples include word metrics (entropy, fragmentation) and non-discrete metrics (Hofer norm and Lp) in symplectic, differential geometries and dynamics. In group theory examples include commutator length and primitive length. After providing some&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=3159\">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":[7,9],"tags":[],"class_list":["post-3159","post","type-post","status-publish","format-standard","hentry","category-colloquium","category-news"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/3159","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=3159"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/3159\/revisions"}],"predecessor-version":[{"id":3160,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/3159\/revisions\/3160"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3159"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3159"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3159"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}