no. 11-12
Group Theory
Spectral gaps in SU(d)
[Trou spectral dans SU(d)]
Présenté par : Jean Bourgain
Bourgain, Jean1 ; Gamburd, Alexander2
1 IAS, 1 Einstein Drive, Princeton, NJ 08540, USA
2 UCSC, 1156 High Street, Santa Cruz, CA 95064, USA
Comptes Rendus. Mathématique, Tome 348 (2010) no. 11-12, pp. 609-611

It is shown that if g1,…,gk are algebraic elements in SU(d) generating a dense subgroup, then the corresponding Hecke operator has a spectral gap.

On démontre que si g1,…,gk sont des éléments algébriques de SU(d) et le groupe engendré par g1,…,gk est dense, alors l'opérateur de Hecke défini par ces éléments a un trou spectral.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.04.024

Bourgain, Jean 1 ; Gamburd, Alexander 2

1 IAS, 1 Einstein Drive, Princeton, NJ 08540, USA
2 UCSC, 1156 High Street, Santa Cruz, CA 95064, USA 
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Bourgain, Jean; Gamburd, Alexander. Spectral gaps in $ \mathit{SU}(d)$. Comptes Rendus. Mathématique, Tome 348 (2010) no. 11-12, pp. 609-611. doi: 10.1016/j.crma.2010.04.024

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