Agol's Virtual Haken Theorem Winter 2013

Instructor: Danny Calegari

Tu Th 1:30-2:50 Eckhart 312

Description of course:

The goal of this course is to give an exposition of Agol's proof of the Virtual Haken Conjecture of Waldhausen and the Virtual Fibration Conjecture of Thurston.

Cancellations:

I will be in Israel from Friday January 11 to Friday January 25 so there will be no classes on January 15, 17, 22, 24.

Notes from class:

Notes on the proof will be posted online here and updated as we go along.

(Notes last updated June 14, 2013)

References:

I. Agol Criteria for virtual fibering
I. Agol The virtual Haken conjecture (with appendix by Agol-Groves-Manning)
I. Agol, D. Groves, J. Manning Residual finiteness, QCERF and fillings of hyperbolic groups
N. Bergeron, D. Wise A boundary criterion for cubulation
B. Bowditch Relatively hyperbolic groups
R. Charney An introduction to right-angled Artin groups
B. Farb Relatively hyperbolic groups
R. Gitik, M. Mitra, E. Rips, M. Sageev Widths of subgroups
D. Groves and J. Manning Dehn filling in relatively hyperbolic groups
F. Haglund Finite index subgroups of graph products
F. Haglund, D. Wise Special cube complexes
F. Haglund, D. Wise A combination theorem for special cube complexes
J. Kahn, V. Markovic Immersing almost geodesic surfaces in a closed hyperbolic three manifold
D. Osin Peripheral fillings of relatively hyperbolic groups
M. Sageev Codimension 1 subgroups and splittings of groups
M. Sageev Ends of group pairs and non-positively curved cube complexes
P.Scott Subgroups of surface groups are almost geometric
W. Thurston Three dimensional manifolds, Kleinian groups and hyperbolic geometry
D. Wise The structure of groups with a quasiconvex hierarchy