{"id":907,"date":"2023-04-25T10:01:53","date_gmt":"2023-04-25T02:01:53","guid":{"rendered":"https:\/\/sites.gtiit.edu.cn\/events\/?post_type=mec-events&#038;p=907"},"modified":"2023-04-25T10:01:53","modified_gmt":"2023-04-25T02:01:53","slug":"recent-developments-in-sandpile-models","status":"publish","type":"mec-events","link":"https:\/\/sites.gtiit.edu.cn\/events\/items\/recent-developments-in-sandpile-models\/","title":{"rendered":"Recent developments in sandpile models"},"content":{"rendered":"<p><span style=\"color: #0b71c6\"><strong>Title<\/strong><\/span><\/p>\n<p><strong>Recent developments in sandpile models<\/strong><\/p>\n<p><strong><span style=\"color: #0b71c6\">Speaker<\/span><\/strong><\/p>\n<p><strong>Prof. Nikita Kalinin<\/strong> (GTIIT)<\/p>\n<p><strong><span style=\"color: #0b71c6\">Time and Location<\/span><\/strong><\/p>\n<p>Apr. 27, 2023, Thursday, 18:30-19:30, E509 (Education Building, 5th floor)<\/p>\n<p><strong>Zoom link:<\/strong> <a href=\"https:\/\/gtiit.zoom.us\/j\/3343552026\">https:\/\/gtiit.zoom.us\/j\/3343552026<\/a><\/p>\n<p>Pizza will be provided after the colloquium<\/p>\n<p><span style=\"color: #0b71c6\"><strong>Abstract<\/strong><\/span><\/p>\n<p>A sandpile model on a graph G is a simple cellular automata. A state of a sandpile model is a function from the vertices of G to non-negative integer numbers, representing the number of grains at each vertex of G. A relaxation of a sandpile state is defined as a sequence of topplings: if a vertex of valency k has at least k grains, then this vertex gives one grain to each of its neighbors, one repeats topplings while it is possible. Grains falling to sinks disappear.<\/p>\n<p>Surprisingly for a certain initial state (\u201ca small perturbation of the maximal stable state\u201d), the final relaxed picture represents tropical curves and tropical hypersurfaces. I will explain definitions and show many beautiful pictures. We will discuss certain unexpected connections to number theory. Then I present results of an ongoing work about sandpile groups for infinite graphs.<\/p>\n<p><span style=\"color: #0b71c6\"><strong>Biography<\/strong><\/span><\/p>\n<p>PhD of the University of Geneva (2015).<\/p>\n<p>Scientific interests: sandpile model, tropical geometry, knot theory, symplectic geometry, algebraic geometry.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-908 size-full\" src=\"http:\/\/sites.gtiit.edu.cn\/events\/wp-content\/uploads\/sites\/55\/2023\/04\/Poster-1.jpg\" alt=\"\" width=\"652\" height=\"924\" srcset=\"https:\/\/sites.gtiit.edu.cn\/events\/wp-content\/uploads\/sites\/55\/2023\/04\/Poster-1.jpg 652w, https:\/\/sites.gtiit.edu.cn\/events\/wp-content\/uploads\/sites\/55\/2023\/04\/Poster-1-212x300.jpg 212w, https:\/\/sites.gtiit.edu.cn\/events\/wp-content\/uploads\/sites\/55\/2023\/04\/Poster-1-8x12.jpg 8w\" sizes=\"(max-width: 652px) 100vw, 652px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title Recent developments in sandpile models Speaker Prof. Nikita Kalinin (GTIIT) Time and Location Apr. 27, 2023, Thursday, 18:30-19:30, E509 (Education Building, 5th floor) Zoom link: https:\/\/gtiit.zoom.us\/j\/3343552026 Pizza will be provided after the colloquium Abstract A sandpile model on a graph G is a simple cellular automata. A state of a sandpile model is a [&hellip;]<\/p>\n","protected":false},"author":182,"featured_media":474,"comment_status":"closed","ping_status":"closed","template":"","mec_category":[74],"mec_speaker":[209],"_links":{"self":[{"href":"https:\/\/sites.gtiit.edu.cn\/events\/wp-json\/wp\/v2\/mec-events\/907"}],"collection":[{"href":"https:\/\/sites.gtiit.edu.cn\/events\/wp-json\/wp\/v2\/mec-events"}],"about":[{"href":"https:\/\/sites.gtiit.edu.cn\/events\/wp-json\/wp\/v2\/types\/mec-events"}],"author":[{"embeddable":true,"href":"https:\/\/sites.gtiit.edu.cn\/events\/wp-json\/wp\/v2\/users\/182"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.gtiit.edu.cn\/events\/wp-json\/wp\/v2\/comments?post=907"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sites.gtiit.edu.cn\/events\/wp-json\/wp\/v2\/media\/474"}],"wp:attachment":[{"href":"https:\/\/sites.gtiit.edu.cn\/events\/wp-json\/wp\/v2\/media?parent=907"}],"wp:term":[{"taxonomy":"mec_category","embeddable":true,"href":"https:\/\/sites.gtiit.edu.cn\/events\/wp-json\/wp\/v2\/mec_category?post=907"},{"taxonomy":"mec_speaker","embeddable":true,"href":"https:\/\/sites.gtiit.edu.cn\/events\/wp-json\/wp\/v2\/mec_speaker?post=907"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}