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

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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.