Actions of higher-rank lattices on right-angled Artin groups
Richard Wade (U Oxford)
Wednesday 2nd March, 2011 16:00-17:00 204
We describe a result that restricts the actions of irreducible lattices in semisimple Lie groups (such as SL_n(Z)) on a right-angled Artin group G. G is a quotient of a free group formed by making prescribed pairs of generators commute. The backbone of this work involves the Lie algebra built up from consecutive quotients of the lower central series of G. We will give an explicit description of this Lie algebra, which allows us to attain useful information about G and its automorphism group.