Monodromy of Lagrangian Fibrations - Anh Tran - Edward Varvak
Автор: Institute for Advanced Study
Загружено: 2025-11-14
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Special Year Research Seminar
1:30pm|Simonyi 101
Topic: Monodromy of Lagrangian Fibrations - Anh Tran
Speaker: Edward Varvak
Affiliation: University of Illinois Chicago
Date: November 14, 2025
A compact hyperkahler manifold is a higher-dimensional analog of a K3 surface; Lagrangian fibrations of hyperkahler manifolds are higher-dimensional versions of elliptic fibrations of K3 surfaces. A result of Voisin shows that these fibrations yield irreducible real variations of weight one Hodge structures. We show that when the variation is not isotrivial, its underlying local system is irreducible over the complex numbers.
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