April 14, 2025 to July 11, 2025
IHP
Europe/Paris timezone

Session

Complex hyperbolic lattices

chl
Jun 17, 2025, 10:00 AM
Amphitheater Darboux (IHP)

Amphitheater Darboux

IHP

11, Rue Pierre et Marie Curie 75005 Paris

Conveners

Complex hyperbolic lattices: Complex hyperbolic lattices I

  • Matthew Stover (Department of Mathematics, Temple University)

Complex hyperbolic lattices: Complex hyperbolic lattices II

  • Matthew Stover (Department of Mathematics, Temple University)

Complex hyperbolic lattices: Complex hyperbolic lattices III

  • Matthew Stover (Department of Mathematics, Temple University)

Description

Complex hyperbolic lattices occupy an interesting space in between fundamental groups of hyperbolic manifolds and higher-rank lattices, and they also are a key case for a number of open problems on discrete subgroups of Lie groups. This mini-course will discuss (0) basic geometry (1) rigidity and a geometric viewpoint on arithmeticity (2) explicit constructions via uniformization and applications and (3) a potpourri of open problems.

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