Alladi Ramakrishnan Hall

Invariance of conformal dimension under L^p-OE for a class of hyperbolic coxeter groups

Kajal Das

Weizmann Institute of Science

L^p-orbit equivalence (L^p-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 L^p-OE. In the second half of my talk, I will prove that conformal dimension is invariant under L^p-OE for a significant class of hyperbolic coxeter groups.