Topology Seminar: Julien Paupert (Arizona State), 'Real reflections, commutators and cross-ratios in complex hyperbolic space'

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.