Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

P. Will
Affiliation:

Inst. de Math. de Jussieu/MPI
Date:

Thu, 2010-03-25 15:00 - 16:00 The goal of this talk is to present results and examples about discrete subgroups of PU(2,1), which is the automorphism group of the complex hyperbolic plane. These groups are a complex 2-dimensional analogue of Fuchsian groups in PSL(2,R), or Kleinian groups in PSL(2,C). The complex hyperbolic space is an example of a rank one symmetric space with negative pinched curvature. It is biholomorphic to a ball, and is a natural generalisation of the usual PoincarĂ© disk or upper half plane. I will try to illustrate on examples the differences between the "classical" cases of Fuchsian and Kleinian groups and the complex hyperbolic case.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/158