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Graphs on surfaces and curves over number fields
April 17, 2024 18:30–20:00, Moscow, Lomonosov Moscow State University, room 14-15, 18:30 - 20:30
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Dessins d'enfants on reducible curves
N. Ya. Amburga, E. M. Kreinesb
a State University – Higher School of Economics
b Tel Aviv University, School of Mathematical Sciences
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Abstract:
We will introduce child's drawings on unions of surfaces, possibly glued together at individual points, discuss why this construction is natural, and demonstrate its connection with Belyi pairs on reducible curves, involving the standard equivalence of categories. We will give an example of a Fried pair on a sphere, one of whose degenerations is a child's drawing on a reducible singular curve.
The talk is based on our joint work with G.B. Shabat.
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