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Lattice Extensions of Classical Schottky Groups
Junzhi Huang, Yale
Location: Hill 705
Date & time: Tuesday, 21 October 2025 at 4:00PM - 5:00PM
In this talk, I will discuss a construction to realize a dense family of classical Schottky groups in Isom(H^n) as subgroups of lattices. This partially generalizes Brooks' theorem that any geometrically finite subgroup of Isom(H^3) can be perturbed to be contained in a lattice. I will start by introducing an "inbreeding" technique by Agol, which is the origin of our construction, and talk about several applications. This is joint work with Matthew Zevenbergen.