Group Theory Seminar
A toolbox for left-orders of low complexity (pre-defence)
Speaker: Hang Lu Su ()Date: Tuesday, 29 April 2025 - 16:00Place: Aula 520, Módulo 17, Departamento de Matemáticas, UAM
Abstract:
My thesis explores how concepts of formal language theory can be used to study left-orderable groups. It analyses the languages formed by their positive cones and demonstrates how the abstract families of languages (AFLs) in the Chomsky hierarchy (in particular regular and context-free languages) interact with core group-theoretic constructions under subgroups, extensions, finite generation and taking direct products with the integers.
In this pre-defence, I will present the main thesis results, explain how they relate to the state of the art, and provide proof sketches to highlight the main ideas to the audience.
