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Theses

Des espaces de Hadamard symétriques de dimension infinie et de rang fini

Abstract : This thesis concerns a study of three families of non-compact type sym- metric spaces of infinite dimension. Although they have infinite dimension they have finite rank. More precisely, we show they have finite telescopic dimension. We also show the existence of Furstenberg maps for some group actions on these spaces. Such maps appear as a first step toward superrigidity results.
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https://tel.archives-ouvertes.fr/tel-00673224
Contributor : Bruno Duchesne Connect in order to contact the contributor
Submitted on : Thursday, February 23, 2012 - 9:44:07 AM
Last modification on : Tuesday, July 7, 2020 - 9:02:04 AM
Long-term archiving on: : Thursday, May 24, 2012 - 2:52:22 AM

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Bruno Duchesne. Des espaces de Hadamard symétriques de dimension infinie et de rang fini. Géométrie différentielle [math.DG]. University of Geneva, 2011. Français. ⟨tel-00673224⟩

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