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Virtually special square complexes


Speaker: Ian Agol, UC Berkeley
Location: 2212 MSB
Start time: Tue, Feb 21 2012, 3:10PM

We prove that compact negatively curved square complexes are virtually special. As a consequence of results of Haglund and Wise, they have linear and LERF fundamental groups. The results apply to a larger class of cube complexes with malnormal walls. The proofs depend on recent work of Wise on hyperbolic groups with a quasi-convex hierarchy.