Horofunction Compactifications of Symmetric Spaces

Thomas Haettel (1) , Anna-Sofie Schilling (2) , Anna Wienhard (2) , Cormac Walsh (3, 4)

1 IMAG - Institut Montpelliérain Alexander Grothendieck
2 Universität Heidelberg [Heidelberg] = Heidelberg University
3 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
4 TROPICAL - TROPICAL

We consider horofunction compactifications of symmetric spaces with respect to invariant Finsler metrics. We show that any (generalized) Satake compactification can be realized as a horofunction compactification with respect to a polyhedral Finsler metric.

Domaines: Topologie géométrique [math.GT]

Thomas Haettel, Anna-Sofie Schilling, Anna Wienhard, Cormac Walsh. Horofunction Compactifications of Symmetric Spaces. 2018. ⟨hal-01814137⟩