Speaker:
Sarah Rees (Universidad de Newcastle)
Email:
sarah.rees@ncl.ac.ukLocation:
Departamento de Álgebra
Date:
Tue, 25 oct 2022 10:00
Sarah Rees estudió Matemáticas en la Universidad de Cambridge y realizó su doctorado en Oxford con Peter Cameron, sobre geometría finita. Antes de conseguir su posición permanente en Newcastle, donde es Catedrática desde 2004, trabajó en Bruselas, Chicago Ohio, Birmingham, Warwick y Essen. Actualmente es profesora emérita.
I’ll talk about Artin groups. These are groups defined by their finite pre- sentations, which belong to a very general class, containing groups with (apparently) quite a range of properties. Some of these groups (e.g. the braid groups) have quite natural geometric origins, but for most of them, very little geometric information is known.
In particular I will talk about rewriting in these groups, the structure of geodesic words, and solution of word problem. And I will examine how some rewriting techniques relate the Artin group to the associated Artin monoid. Much of the time I will report on work of others. My own work is in collabo- ration with Holt, and with Godelle, and most recently Boyd,Charney&Morris- Wright.