Invariance of conformal dimension under Lp-OE for some hyperbolic Coxeter groups
Analysis and Geometry Seminar
17th April 2018, 3:00 pm – 4:00 pm
Howard House, 2nd Floor Seminar Room
Lp-orbit equivalence (Lp-OE) is an equivalence relation between two finitely generated countable groups which involves the dynamical information of the group actions and the geometric information of the group. Conformal dimension is a geometric quantity attached with the boundary of a group. In the first half of my talk, I will briefly recall the definitions of conformal dimension, hyperbolic Coxeter groups and Lp-OE. In the second half of my talk, I will prove that conformal dimension is invariant under Lp-OE for a significant class of hyperbolic Coxeter groups .
This is a work in progress with R. Tessera.