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Graphs on surfaces and curves over number fields
December 2, 2020 18:30, Moscow, Lomonosov Moscow State University, room 14-15, 18:30 - 20:30
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Square-tiled surfaces, Masur-Veech volumes and count of meanders
A. V. Zorich
University of Rennes 1
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Abstract:
(joint work with V. Delecroix, E. Goujard and P. Zograf)
I will introduce square-tiled surfaces and explain why they represent integer points in the moduli spaces of Abelian and quadratic differentials. I will also explain why count of square-tiled surfaces provides Masur-Veech volumes of these moduli spaces.
To justify my interest to count of square-tiled surfaces I will show how it allows to count meanders. The results are obtained jointly with V. Delecroix, E. Goujard, P. Zograf.
Language: English
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