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Title:
Webs of Lagrangian tori in projective symplectic manifolds
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Abstract:
This is a report on my jointwork with Richard Weiss, which proves that a web of Lagrangian fibration in a projective symplectic manifold defines an almost holomorphic map. There are two ingredients of the proof: a group-theoretic result on the behavior of the subgroups of the monodromy group associated to a web of submanifolds and an integrability result on pairs of Lagrangian foliations arising from proper Lagrangian fibeations
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