Complex hyperbolic discrete groups and lattices (ASUF 30006173)

Project: Research project

Project Details

Description

Complex hyperbolic discrete groups and lattices (ASUF 30006173) Complex hyperbolic discrete groups and lattices We study discrete groups of isometries of complex hyperbolic space, in particular that of lattices in PU}(n,1). Hyperbolic reflection groups are an important class of groups in the realm of discrete subgroups and lattices in Lie groups, and more generally of discrete groups in geometry and topology. Such groups are accessible to a direct geometric description and understanding which are not always clear for groups defined algebraically or arithmetically. While these reflection groups are relatively well understood in the constant curvature setting (they are then"Coxeter groups" in Euclidean, spherical or real hyperbolic space), very little is known about their complex hyperbolic counterparts.
StatusFinished
Effective start/end date9/1/148/31/18

Funding

  • Simons Foundation: $35,000.00

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