Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics

Dynamics, Geometry, & Groups Seminar


Thursday, November 26th, 2020

Time: 2:00 p.m Place:

Speaker: Hang Lu Su (ICMAT Madrid)

Title: Left-orderable groups and formal languages.

Abstract: I will introduce the notions of left-orderable groups, the topology on the space of left-orders, and formal language complexity with respect to the Chomsky hierarchy. I will give an idea of why it is intriguing to study left-orders using language complexity by introducing a toy example with the Klein bottle group. Finally, I will introduce some recent results concerning the closure properties of positive cone complexity. This work is joint with Yago Antolín and Cristóbal Rivas.