Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Distinguished Prof. Rostislav Grigorchuk，Texas A & M University
Interesting example of computation of spectrum of certain group of intermediate growth
Time & Venue:
2018.7.14 10:30-11:30 N913
I will explain computation of the spectrum of the Cayley graph of a group of intermediate growth constructed by me in 1980. It is based on the use of the spectrum of associated Schreier graph and on the computation of a joint spectrum of a pencil of operators associated with a regular representation of infinite dihedral group. A short overview of the problematic of computation of spectra of infinite groups and graphs will be done as well.