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Cubulable Kähler groups

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NPCW01 - Non-positive curvature in action

A K ähler group is the fundamental group of a compact Kähler manifold. We prove that if such a group is cubulable, it must have a finite index subgroup isomorphic to a direct product of surface groups, possibly with a free Abelian factor. Similarly we prove that if an aspherical smooth projective manifold has a cubulable fundamental group, it must have a finite cover which is biholomorphic to a product of Riemann surfaces and complex tori. This is joint work with Thomas Delzant.

This talk is part of the Isaac Newton Institute Seminar Series series.

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