On Volumes of Hyperbolic Orbifolds
Ilesanmi Adeboye, UCSB
Abstract: In this talk we derive an explicit lower bound for the volume of
a hyperbolic orbifold dependent only on dimension. We use a result due to
H. C. Wang, and some comparison geometry, to bound the volume of the
fundamental domain of a lattice in a semisimple Lie group. We then show
how the canonical volume in the indefinite orthogonal group relates to
hyperbolic volume. Finally, we discuss how our arguments generalize to all
rank one symmetric spaces of noncompact type. This is joint work with
Guofang Wei.