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Seminar on analytic theory of differential equations
June 1, 2016 14:30, Moscow, Steklov Mathematical Institute, Room 440 (8 Gubkina)
 


A combinatorial analysis of a period map: a global topology of fibres

A. B. Bogatyrev

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Abstract: Under a period map, to a given Riemann sufrace with marked points there corresponds the values of periods of distinguished meromorphic differentials on it. We consider in details one such a mapping which comes from problems of a uniform rational approximation. We construct a piecewise linear model on the space of surfaces that allows to determine a global topology of fibres of the period mapping.

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