## Dynamics, Geometry, & Groups - Hang Lu Su (ICMAT Madrid)

### 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.