{"id":2056,"date":"2021-06-09T11:12:20","date_gmt":"2021-06-09T08:12:20","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2056"},"modified":"2021-09-12T13:07:34","modified_gmt":"2021-09-12T10:07:34","slug":"u-of-haifa-colloquium-15-6-21","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2056","title":{"rendered":"U. of Haifa Colloquium 15\/6\/21"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>Speaker:<\/strong>&nbsp;Michael Farber (University of London)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Topic:<\/strong>&nbsp;Ample simplicial complexes.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"block-15e407c1-5ea5-4efc-aac7-4967c53b6da6\"><strong>Place:<\/strong>&nbsp;This is an online seminar. Please email Yuval Ginosar \u201cginosar at math dot haifa dot ac dot il\u201d for the Zoom ID and password.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"block-89317a3d-c8f0-40a9-87ab-35fd9ef60741\"><strong>Date:<\/strong>&nbsp;Tuesday, June 15, 2021<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" id=\"block-066dd0bd-75d8-47ee-90e9-b0a8e3d6a345\"><strong>Time:<\/strong>&nbsp;14:00<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Abstract:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Motivated by potential applications in network theory, engineering and computer science, we study r-ample simplicial complexes. These complexes can be viewed as finite approximations to the Rado complex which has a remarkable property of indestructibility, in the sense that removing any finite number of its simplexes leaves a complex isomorphic to itself.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We prove that an r-ample simplicial complex is simply connected and 2-connected for r large.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We use the probabilistic method to establish the existence of r-ample simplicial complexes.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We introduce the iterated Paley simplicial complexes, which are explicitly constructed r-ample&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">simplicial complexes with nearly optimal number of vertexes.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The talk is based on a joint work with C. Even-Zohar and L. Mead.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker:&nbsp;Michael Farber (University of London) Topic:&nbsp;Ample simplicial complexes. Place:&nbsp;This is an online seminar. Please email Yuval Ginosar \u201cginosar at math dot haifa dot ac dot il\u201d for the Zoom ID and password. Date:&nbsp;Tuesday, June 15, 2021 Time:&nbsp;14:00 Abstract: Motivated by&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2056\">Read more<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-2056","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\/2056","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\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2056"}],"version-history":[{"count":2,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2056\/revisions"}],"predecessor-version":[{"id":2115,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2056\/revisions\/2115"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2056"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2056"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2056"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}