18–22 September 2017
Organisers: Marc Lackenby, Alan Reid, Saul Schleimer
The resolution of many of Thurston's prophetic questions about the structure of 3-manifolds has generated a vast array of techniques which permeate many of the areas covered by the symposium.
As is often the case, the resolution of old conjectures has led to intriguing new questions, which will be the focus of this workshop. Examples include: given a combinatorial or arithmetic presentation of a 3--manifold, describe its geometric structure concretely (''effective geometrisation''); understand the geometry of the Thurston unit norm ball, for example how it behaves under taking towers of covers; understand the connection between Heegard-Floer homology and orderability of fundamental groups. Several old conjectures, such as the simple loop conjecture for surfaces in three-manifolds and the conjecture that a quasifuchsian group is determined by its pleating laminations, continue to motivate work.
Links with other workshop areas include a renewed focus on computation in 3-manifold theory, the use of special cube complexes via the Agol-Wise machinery, used to resolve several of the conjectures which remained after Perelman's solution to the Geometrisation conjecture, and the geometry and combinatorics of complexes of discs and spheres in 3-manifolds, which have been used to investigate the structure of outer automorphism groups of free groups.
Kenneth Baker (University of Miami)
Michel Boileau (Aix Marseille Université)
Jeffrey Brock (Brown University)
Nathan Dunfield (UIUC)
David Gabai (Princeton University)
Joshua Greene (Boston College)
Stefan Friedl (Universität Regensburg)
David Futer (Temple University)
Autumn Kent (UWM)
Steven Kerckhoff (Stanford University)
Yi Liu (BICMR)
Bruno Martelli (Università di Pisa)
Jessica Purcell (Monash University)
Saul Schleimer (University of Warwick)
Juan Souto (Universite de Rennes)
Henry Wilton (University of Cambridge)
Mehdi Yazdi (University of Oxford)
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Mathematics Research Centre
University of Warwick
Coventry CV4 7AL - UK