{"id":2188,"date":"2021-10-31T15:44:50","date_gmt":"2021-10-31T13:44:50","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2188"},"modified":"2021-11-04T12:17:31","modified_gmt":"2021-11-04T10:17:31","slug":"colloquium-tuesday-november-2-2021-speaker-dmitry-faifman-tel-aviv-title-intrinsic-volumes-and-weyls-principle-in-valuation-theory","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2188","title":{"rendered":"Colloquium: Tuesday, November 2, 2021. Speaker: Dmitry Faifman (Tel Aviv). Title: &#8220;Intrinsic volumes and Weyl&#8217;s principle in valuation theory&#8221;."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Zoom link: <\/strong><a href=\"https:\/\/us02web.zoom.us\/j\/82797905845?pwd=VUxHdkwyRzZIOHdDWkF2OC92U0p6UT09\">https:\/\/us02web.zoom.us\/j\/82797905845?pwd=VUxHdkwyRzZIOHdDWkF2OC92U0p6UT09<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Speaker: Dmitry Faifman (Tel Aviv University)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Date: <strong>Tuesday, November 2, 2021<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Time: <strong>14:00<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Title: Intrinsic volumes and Weyl&#8217;s principle in valuation theory<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Abstract: First we will recall the fundamental notion of intrinsic volumes, known as quermassintegrals in convex geometry. Those notions were extended later to Riemannian manifolds by H. Weyl, who discovered a remarkable fact: given a manifold M embedded in Euclidean space, the volume of the epsilon-tube around it is an invariant of the Riemannian metric on M. We then discuss Alesker&#8217;s theory of smooth valuations, which provides a framework and a powerful toolset to study integral geometry, in particular in the presence of various symmetry groups; we will see how Weyl&#8217;s theorem fits into this framework.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We then explore the various forms Weyl&#8217;s theorem assumes in various geometric settings, in particular in Lorentzian and Finslerian geometries.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Zoom link: https:\/\/us02web.zoom.us\/j\/82797905845?pwd=VUxHdkwyRzZIOHdDWkF2OC92U0p6UT09 Speaker: Dmitry Faifman (Tel Aviv University) Date: Tuesday, November 2, 2021 Time: 14:00 Title: Intrinsic volumes and Weyl&#8217;s principle in valuation theory Abstract: First we will recall the fundamental notion of intrinsic volumes, known as quermassintegrals in&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2188\">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-2188","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\/2188","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=2188"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2188\/revisions"}],"predecessor-version":[{"id":2189,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2188\/revisions\/2189"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2188"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2188"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2188"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}