Hanoi Tower Groups, their Spectra and Growth of Diameters of Schreier Graphs

LIE GROUPS, REPRESENTATIONS AND DISCRETE MATH
Topic:Hanoi Tower Groups, their Spectra and Growth of Diameters of Schreier Graphs
Speaker:Rostislav Grigorchuk
Affiliation:Texas A & M
Date:Tuesday, December 13
Time/Room:2:00pm - 3:15pm/S-101

We will show how self-similar groups H(k) generated by finite automata can be related to Hanoi Tower games on k=3,4,... pegs. Then we will consider the spectrum of a Schreier graph of Hanoi Group H(3), will show that the group is of branch type, and will finish our talk with a discussion of the growth of diameters of finite Schreier graphs related to Hanoi groups and to other self-similar groups and how this growth reflect expanding properties. The amenability will appear in some moment as well.