B. Rémy - Génération de groupes topologiques simples
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Descriptif
Les groupes finis simples sont connus pour être engendrés par des paires d’éléments bien choisies. On peut se poser la même question avec des groupes topologiques : que peut-on espérer comme partie engendrant un sous-groupe dense ? Évidemment, la réponse dépend des groupes considérés ; on y répondra partiellement pour des groupes de matrices, et on évoquera les nombreuses questions ouvertes dans le domaine.
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