{"id":251,"date":"2024-01-14T20:49:01","date_gmt":"2024-01-14T20:49:01","guid":{"rendered":"https:\/\/www.ccor.hu\/?p=251"},"modified":"2024-01-15T15:40:29","modified_gmt":"2024-01-15T15:40:29","slug":"ccor-workshop","status":"publish","type":"post","link":"http:\/\/www.ccor.hu\/?p=251","title":{"rendered":"CCOR Workshop"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">The Corvinus Center for Operation Research&nbsp;(CCOR)&nbsp;invites&nbsp;you to the&nbsp;<strong><em>CCOR Workshop <\/em><\/strong>titled<strong><em> Searching for monostatic polyhedra with optimization<\/em><\/strong>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Speakers:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>G\u00e1bor Domokos<\/strong> (Budapest University of Technology and Economics)<br><strong>Krisztina Reg\u0151s<\/strong> (Budapest University of Technology and Economics)<br><strong>S\u00e1ndor Boz\u00f3ki<\/strong>&nbsp; (Institue for Computer Science and Control, Corvinus University of Budapest)<br><strong>D\u00e1vid Papp<\/strong> (North Carolina State University, Non-resident research fellow at CIAS-CCOR)<br><strong>Gerg\u0151 Alm\u00e1di<\/strong> (Budapest University of Technology and Economics)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Venue<\/strong>: Corvinus University, Building C, Room: C105<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Date<\/strong>: January 19. (Friday), 11:00-13:15<strong><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Abstract:<\/strong> The stability of polyhedra was investigated first by Conway and Guy, and independently by Heppes in the 60s. A convex body is called mono-(un)stable if it has a unique (un)stable equilibrium. It is monostatic if it belongs to either of the two classes, and mono-monostatic, if it belongs to both. The G\u00f6mb\u00f6c, constructed by Domokos and V\u00e1rkonyi in 2006, is the first known mono-monostatic, homogeneous convex body. Several monostable polyhedra have also been found, but the minimal number of vertices (faces, edges) is unknown. Mono-unstability is even less understood; mono-monostatic homogenous polyhedra have not been explicitly constructed. Our four short talks will cover the geometry behind the stability of polyhedra; its algebraic reformulation into systems of polynomial inequalities; solvability of such systems using optimization techniques; and finally the inhomogenous case.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Corvinus Center for Operation Research\u00a0(CCOR)\u00a0invites\u00a0you to the\u00a0CCOR Workshop titled Searching for monostatic polyhedra with optimization.<\/p>\n<p>Speakers:<\/p>\n<p>G\u00e1bor Domokos (Budapest University of Technology and Economics)<br \/>\nKrisztina Reg\u0151s (Budapest University of Technology and Economics)<br \/>\nS\u00e1ndor Boz\u00f3ki\u00a0 (Institue for Computer Science and Control, Corvinus University of Budapest)<br \/>\nD\u00e1vid Papp (North Carolina State University, Non-resident research fellow at CIAS-CCOR)<br \/>\nGerg\u0151 Alm\u00e1di (Budapest University of Technology and Economics)<\/p>\n<p>Date: January 19. (Friday), 11:00-13:15 <span class=\"readmore\"><a href=\"http:\/\/www.ccor.hu\/?p=251\">Continue Reading &#8230;<\/a><\/span><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-251","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts\/251","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=251"}],"version-history":[{"count":2,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts\/251\/revisions"}],"predecessor-version":[{"id":255,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts\/251\/revisions\/255"}],"wp:attachment":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=251"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=251"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=251"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}