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The 2nd William Rowan Hamilton Geometry and Topology Workshop

September 28-30, 2006

The Hamilton Mathematics Institute, Trinity College Dublin

Surface Groups in Low Dimensional Topology

and Geometric Group Theory

Co-sponsored by Boston College, the Hamilton Mathematics Institute,

and the National Science Foundation

Henry Moore

Josh Barnard (U Oklahoma)
Benson Farb (Chicago)
Daniel Groves (Caltech)
Richard Kent (UT Austin)
Chris Leininger (UIUC)
Darren Long (UCSB)
Denis Osin (CUNY)
Michah Sageev (Technion)
Caroline Series (Warwick)
Genevieve Walsh (Tufts)
Bert Wiest (Rennes)
Organizing Committee

Noel Brady (University of Oklahoma, USA)
Tom Brady (Dublin City University)
Martin Bridgeman (Boston College, USA)
Martin Bridson (Imperial College London, England)
Siddhartha Sen (Trinity College Dublin)
Dmitri Zaitsev (Trinity College Dublin)

The Workshop

The William Rowan Hamilton Geometry and Topology Workshop is an annual directed workshop held at the Hamilton Mathematics Institute (HMI), Trinity College Dublin, Ireland. The topic for the 2006 workshop is Surface Groups in Low Dimensional Topology and Geometric Group Theory. The workshop will focus on common themes and techniques for producing closed hyperbolic surface subgroups in the following three areas.
 Mapping class groups

     Constructing closed surface groups in mapping class groups.
Existence of purely pseudo-Anosov closed hyperbolic surface subgroups in mapping class groups.

3-manifold groups
Closed surface groups in 3-manifold groups.
Virtual Haken and Virtual Fibering conjectures. Surfaces and cubings of 3-manifold groups.

Geometric Group Theory
Ubiquity of closed hyperbolic surface subgroups in various classes of groups;
hyperbolic groups, Coxeter groups, Artin groups. Relatively hyperbolic groups and hyperbolic Dehn filling.


The goal of the William Rowan Hamilton Geometery and Topology Workshop is to provide a forum in which  the international geometry and topology community can meet annually with its European counterpart to discuss topics of an interdisciplinary nature. A major anticipated outcome of these annual workshops is the determination of future research directions, and the generation of a list of open problems in the topics of focus. The workshop has a permanent website at, where these problem lists and any lecture notes that the participants provide will be posted. Furthermore, the HMI intends to have a preprint series, whereby hard copies of the workshop results can be disseminated to research institutions worldwide.

Boston College, the HMI, and the NSF have generously provided grants to co-sponsor this event as part of their commitment to fostering ties between the US scientific community and the European scientific community.

Contact Information

If you have any questions, contact the organizers at

Trinity College Dublin, College Green, Dublin 2. Tel: +353-1-608-1000.
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