（2018.7.14）Distinguished Prof. Rostislav Grigorchuk：Interesting example of computation of spectrum of certain group of intermediate growth----Academy of Mathematics and Systems Science

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Distinguished Prof. Rostislav Grigorchuk，Texas A & M University
Inviter:
Title:	Interesting example of computation of spectrum of certain group of intermediate growth
Time & Venue:	2018.7.14 10:30-11:30 N913
Abstract:	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. 报告人简介：Rostislav Grigorchuk教授的主要研究领域为几何群论，群上的随机游走，动力系统等。其最著名的工作是1984年首次构造了具有过渡性增长阶的有限生成群，现在被国际上称为Grigorchuk群。Grigorchuk教授因其杰出学术贡献，于1990年在国际数学家大会上被邀请做45分钟报告。2015年获得美国数学会Steele奖。