Topological and conformal dimensions of self-similar groups

Volodymyr Nekrashevych (TAMU, College Station)

Jul 18. 2023, 09:00 — 09:45

Self-similar contracting groups are naturally associated with their limit dynamical systems, which are locally expanding maps on a compact topological space called the limit space of the group. The group is then the iterated monodromy group of the limit dynamical system. We will discuss the relation between the algebraic properties of the group and the geometric properties of the limit space. In particular, we will discuss algebraic aspects of the topological and conformal dimensions of the limit space.

Further Information
ESI Schrödinger and Boltzmann Lecture Hall
Associated Event:
Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics (Workshop)
Christopher Cashen (U of Vienna)
Javier de la Nuez González (KIAS, Seoul)
Alexandra Edletzberger (U of Vienna)
Yash Lodha (U of Hawaii, Honolulu)