Title and abstract TBD
Title and abstract TBD
Wolfgang and Luise Kappe Alumni Speaker
Title: Some complicated simple groups
Abstract: Finite simple groups are, famously, classified. This is very much not the case for infinite simple groups. In this talk I will discuss some important examples of infinite simple groups, based around the (unfortunately non-descriptively-named) family of "Thompson's groups". We will move through the extended family of Thompson-like groups, eventually reaching some rather complicated and robust examples of infinite simple groups called "twisted Brin-Thompson groups" (introduced by Jim Belk and myself, following work of Matt Brin). In particular I will discuss some interesting "universality" properties of these groups in the class of infinite simple groups, following joint work of mine with Jim Belk, Francesco Fournier-Facio, and James Hyde.