Seminars: G. B. Shabat, Three facets of dessins d'enfants theory (the 2nd day of the Conference devoted to the memory of Gena Belyi on the occasion of his 70th birthday)

SEMINARS


Graphs on surfaces and curves over number fields April 28, 2021 18:30, Moscow, Lomonosov Moscow State University, room 14-15, 18:30 - 20:30

Three facets of dessins d'enfants theory (the 2nd day of the Conference devoted to the memory of Gena Belyi on the occasion of his 70th birthday) G. B. Shabat^ab ^a Russian State University for the Humanities, Moscow ^b Institute for Theoretical and Experimental Physics named by A.I. Alikhanov of National Research Centre «Kurchatov Institute»
Abstract: As everybody knows, the 3-points theorem proved by Belyi in 1978 enriched Grothendieck's (with his students') considerations of embeddings of graphs into surfaces; that was the Big Bang of dessins d'enfants theory. I am going to give an overview of the development of this theory during the recent decades, concentrating on the interactions between the algebro-geometric, combinatorial and group-theoretical viewpoints.