Representation of Surface Groups and Higgs Bundles

Organisers: Professor O García-Prada (CSIC, Madrid), Professor W Goldman (Maryland), Professor PE Newstead (Liverpool), Dr T Hausel (Oxford) and Professor N Hitchin (Oxford)

Scientific Theme

The workshop will concentrate on the relationship of moduli spaces to topology, Teichmüller theory and hyperbolic geometry - this relationship takes place in the study of representations of a surface group in a real Lie group and involves Higgs bundle theory, bounded cohomology, Anosov systems, cluster varieties, tropical algebraic geometry; there is a very rich geometric structure and the various points of view are complementary, the relationship between them yet to be understood.

The event is also being sponsored by the Interactions of Low-Dimensional Topology and Geometry with Mathematical Physics (ITGP) network of the European Science Foundation and the London Mathematical Society.

Invited Speakers

• Joergen Andersen (Aarhus Universitet)
• Marc Burger (ETH Zürich)
• Philip Boalch (École Normale Supérieure)
• Steven Bradlow (University of Illinois at Urbana-Champaign)
• Suhyoung Choi (KAIST)
• Emanuel Diaconescu(Rutgers, The State University of New Jersey)
• Philippe Eyssidieux(CNRS)
• Carlos Florentino(Universidade Técnica de Lisboa)
• Olivier Guichard(Université Paris-Sud 11)
• Jochen Heinloth (Universiteit van Amsterdam)
• Alessandra Iozzi (ETH Zürich)
• Bruno Klingler (Institut de mathématiques de Jussieu)
• Francois Labourie (Université Paris-Sud 11 )
• Ignasi Mundet I Riera (Universitat de Barcelona)
• Tony Pantev (University of Pennsylvania )
• Carlos Simpson (Université de Nice Sophia Antipolis)
• Domingo Toledo (University of Utah)
• Richard Wentworth (University of Maryland)