Artin groups and their isomorphism problem

Abstract: Artin groups are a class of groups that includes free groups, free abelian groups, right-angled Artin groups (RAAGs) and braid groups, and is closely related to Coxeter groups, which arise as quotients of Artin groups. In this talk, I will introduce the isomorphism problem for Artin groups, as well as isomorphism invariants that can be read from the defining graph. We will specifically focus on the girth of the defining graph: I will give an algebraic characterisation of it, showing that it is an isomorphism invariant.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.