Skip to content
Texas A&M University
Mathematics

Groups and Dynamics Seminar

Date: May 26, 2021

Time: 12:00PM - 1:00PM

Location: BlOC 164/online

Speaker: Mikhail Lyubich, SUNY Stony Brook

  

Title: Renormalization and spectrum of the Basilica Group.

Abstract: The Basilica Group is the iterated monodromy group associated with the Basilica map z^2-1. The Schur renormalization transformation describes the relation between the Laplacian spectra in various scales. For this group, it happens to be a rational map in two variables. We will describe the dynamical structure of this map that yields the laminar structure for the associated Green current. It implies that the spectrum of this group is a Cantor set of positive Lebesgue measure. It is a work in progress, joint with E.Bedford, N.-B. Dang and R. Grigirchuk. ZOOM ADDRESS: https://tamu.zoom.us/j/94096673668 Meeting ID: 940 9667 3668