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(2018.7.14)Distinguished Prof. Rostislav Grigorchuk:Interesting example of computation of spectrum of certain group of intermediate growth
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Update time: 2018-07-13
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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。

 

 

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