- 4607B South Hall
A real reflection in complex hyperbolic space is an antiholomorphic involution (the prototype of such a map is complex conjugation in each coordinate). We provide a concrete criterion to determine whether a 2-generator subgroup of SU(2,1) is generated by real reflections. As an application we show that the Picard modular groups SU(2,1,O_d) are generated by real reflections when d=1,2,3,7,11. This is joint work with Pierre Will.