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Hyperbolic groups and their representations

English Version

CIMPA-URUGUAY research school

Piriapolis, March 31 - April 9, 2016

Report by Matias Carrasco & Andrés Sambarino
Report by Claude Cibils

This research school consists on an introduction to the geometry of hyperbolic groups and their representations. The global objective is to understand how the intrinsic geometry of the hyperbolic group interacts with the geometry of the target group.

When the hyperbolic group is a surface group, several target groups are subject of major deep results : Teichmüller-Thurston Theory (associated to the groups PSL_2(R) and PSL_2(R) ) and the ‘absence’ of geometric meaning due to Goldman for SU(2), just to name a few. Representations of a general hyperbolic group into a semisimple higher rank Lie group is a current topic of research.

The school consists on 5 mini-courses to be held in english : an introductory course, a course on the large scale geometry of hyperbolic groups, Quasi-Fuchsian representations, representations of surface groups on SU(2) and a course on matrix groups over a p-adic field.

Administrative and scientific coordinators
- Matias Carrasco (Universdad de la República, Uruguay),
- Andrés Sambarino (Université Pierre et Marie Curie),

Scientific Committee

  • Martin Bridgeman (Boston College)
  • Fanny Kassel (Université Lille 1)
  • John Mackay (University of Bristol)
  • Maxime Wolff (Université Pierre et Marie Curie)
  • Juliana Xavier (Universidad de la República)

Local Organizing Committee

  • Juan Alonso (Universidad de la República)
  • Matias Carrasco (Universdad de la República)
  • Nancy Guelman (Universidad de la República)
  • Andres Sambarino (Université Pierre et Marie Curie)

Scientific Program

  • Juan Alonso – Juliana Xavier : Introductory course
  • Martin Bridgeman : Quasi-Fuchsian representations
  • Fanny Kassel : Geometry on p-adic homogeneus spaces
  • John Mackay : Lectures on Hyperbolic groups and coarse geometry
  • Maxime Wolff : Mapping Class Group actions on character varieties

Deadline for registration : December 13, 2015

Application procedure only for applicants not from Uruguay

Applicants from Uruguay must register by sending an email to

Voir en ligne : Local web site