`Strange' rational maps and spectra of graphs and groups

SEMINARIO MATEMATICO E FISICO DI MILANO

AVVISO DI CONFERENZA

Giovedì 13 Giugno 2019, alle ore 16:30,  presso l'Aula U5-3014 (Edificio 5, terzo piano) del Dipartimento di Matematica e Applicazioni dell'Università di Milano-Bicocca, in Via Cozzi 55

Prof. ROSTISLAV GRIGORCHUK
Texas A&M University

parlerà su

" `Strange'  rational  maps  and  spectra  of  graphs  and  groups"

Al termine e’ previsto un rinfresco nel cortile dell’U5, meteo permettendo.

Abstract:  I will present a few results concerning spectral theory of graphs and groups that are based on the use of multidimentional rational maps and self-similar groups. It will be explained how these maps appear, how they help to compute the spectrum, and why they are ``strange'' (or better to say, non typical). As part of the story there will be a short survey on spectra of infinite graphs and groups with some old and new results belonging to the speaker and his collaborators (L.Bartholdi, A.Dudko, D.Lenz, T.Nagnibeda, B.Simanek, A.Zuk).  The relation to the random Schrodinger operator will be mentioned at the end of the talk if time permits.

 

 

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