Printable PDF
Department of Mathematics,
University of California San Diego

****************************

Math 211 A00 - Algebra Seminar

Nir Avni

Northwestern University

Model theory of higher rank arithmetic groups

Abstract:

I'll describe a new rigidity phenomenon of lattices in higher rank semisimple groups. Specifically, I'll explain why the theories of such groups can't have (finitely generated) deformations, why these groups have a very rich collection of definable subgroups, and finish by discussing a conjecture saying that being a higher rank arithmetic lattice is a first-order property. Based on joint works with Alex Lubotzky and Chen Meiri.

Host: Alireza Salehi Golsefidy

November 1, 2021

2:00 PM

Meeting ID: 939 5383 2894, Password: structures

****************************