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ВИДЕОТЕКА |
Конференция "Зеркальная симметрия и ее приложения"
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Nonlinear descent on moduli of local systems J. Whang |
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Аннотация: We discuss the Diophantine geometry of moduli spaces for special linear rank two local systems on topological surfaces with fixed boundary traces. We show that they form a rich family of log Calabi–Yau varieties, where a structure theorem for their integral points can be established using mapping class group dynamics. This generalizes a classical Diophantine work of Markoff (1880). Related analysis also yields new results on the arithmetic of curves in these moduli spaces. Язык доклада: английский |