Commensurating actions and irreducible lattices

Seminar series

Date

Tue, 28 May 2013
17:00

Location

Speaker

Yves Cornulier

Organisation

Orsay

We will first recall the known notion of commensurating actions

and its link to actions on CAT(0) cube complexes. We define a

group to have Property FW if every isometric action on a CAT(0)

cube complex has a fixed point. We conjecture that every

irreducible lattice in a semisimple Lie group of higher rank has

Property FW, and will give some instances beyond the trivial

case of Kazhdan groups.