On the Klein quartic and non-arithmetic lattices

I will review basic properties of the Klein quartic and its
automorphism group. I will explain how this group can be deformed to
lattices in SU(2,1) by changing the order of the generating complex
reflections. Most of the corresponding lattices turn out to be
isomorphic to non-arithmetic lattices in the automorphism of the
complex 2-ball, which were constructed by the author in joint work
with Parker and Paupert.

Date and Venue

Start Date
Venue
Room 0.29

Speaker

Martin Deraux

Speaker's Institution

Université Grenoble Alpes, Institut Fourier

Files

Area

Geometry and Topology