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Cubulable Kähler groups

Presented by: 
Pierre Py Other, Universidad Nacional Autonoma de Mexico (UNAM)
Date: 
Monday 9th January 2017 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
A Kähler 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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons