Predefensa de tesis de Hang Lu Su

Tuesday April, 29 at 16:00, Departamento de Matemáticas UAM, 520

Ph.D. candidate:  Hang Lu Su

Director: Yago Antolín

Title: A toolbox for left-orders of low complexity (pre-defence)

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.