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DTSTART:20230427T103000Z
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SUMMARY:Recent developments in sandpile models
DESCRIPTION:Title\nRecent developments in sandpile models\nSpeaker\nProf. Nikita Kalinin (GTIIT)\nTime and Location\nApr. 27, 2023, Thursday, 18:30-19:30, E509 (Education Building, 5th floor)\nZoom link: https://gtiit.zoom.us/j/3343552026 ( https://gtiit.zoom.us/j/3343552026 )\nPizza will be provided after the colloquium\nAbstract\nA 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.\nSurprisingly for a certain initial state (“a small perturbation of the maximal stable state”), 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.\nBiography\nPhD of the University of Geneva (2015).\nScientific interests: sandpile model, tropical geometry, knot theory, symplectic geometry, algebraic geometry.\n\n
URL:https://sites.gtiit.edu.cn/events/items/recent-developments-in-sandpile-models/
CATEGORIES:Seminar
LOCATION:E509 (Education Building, 5th floor)
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