Volodia Nekrashevych: "Locally expanding maps and conformal dimension"

mardi 20 mai 2025, 09:45 → 11:30 Europe/Paris

Abstract: A space with a locally expanding covering map has a natural quasi-symmetry class of metrics. We study the infimum of their Hausdorff dimension, called the conformal dimension. A complete invariant of expanding covering maps is their iterated monodromy groups. I will discuss the interplay between the properties of the iterated monodromy groups and the conformal dimension of the associated spaces.