Tits Geometry, Arithmetic Groups and the Proof of a Conjecture of Siegel

Abstract

We show that a locally symmetric space of noncompact type and with finite volume is quasi-isometric to the euclidean cone over a finite simplicial complex. A detailed analysis of metric properties yields a proof of a conjecture of Siegel.

23 pages

Cited by in corpus (2)

• Reduction theory for mapping class groups and applications to moduli spaces
• The asymptotic Schottky problem