Date: 23 December 2022 (Fri) 16:30–17:30
Place: Colloquium Room, West-Wing 6th floor, Biwako-Kusatsu Campus, Ritsumeikan University
Speaker: John Parker (Durham Univ.)
Speaker: John Parker (Durham Univ.)
Title: Non-arithmetic lattices
Abstract:
A lattice is a discrete group of isometries of a symmetric space so that 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.
English