Event Date:
Tuesday, November 19, 2013 - 3:30pm to 4:30pm
Event Location:
- 4607B South Hall
Event Contact:
Daryl Cooper
Email: cooper@math.ucsb.edu
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.
October 21, 2014 - 9:38am