### Invariance of conformal dimension under L^{p}-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

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 .

This is a work in progress with R. Tessera.

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