Groups and Dynamics Seminar

Date: February 1, 2023

Time: 3:00PM - 4:00PM

Location: zoom

Speaker: Volodymyr Nekrashevych, Texas A&M University

Title: Conformal dimension and other numerical invariants of self-similar groups

Abstract: We will discuss different numerical invariants associated with a self-similar group: l^p-contraction, Ahlfors-regular conformal dimension of the limit space, complexity of portraits, critical exponents for p-parabolicty, for recurrence of random walks, etc. We will show applications of these notions to algebraic properties of the groups and to geometry of the limit spaces.