MS Seminar (Mathematics - String Theory)

Speaker: John Parker (Durham University)
Title: Non-arithmetic lattices
Date (JST): Mon, Dec 26, 2022, 13:30 - 15:00
Place: Hybrid
Abstract: A lattice is a discrete group of isometries of a symmetric space for which the quotient has finite volume. Combining results of Margulis, Gromov, Schoen and Corlette all lattices arise from an arithmetic construction apart from when the space is real or complex hyperbolic space. Lattices that do not arise from this construction are called non-arithmetic. I will give an introduction to this topic and then I will outline my joint project with Martin Deraux and Julien Paupert where we constructed the first examples since 1986 of non-arithmetic lattices for complex hyperbolic 2-space.