A geometric approach to Artin groups

Ruth Charney (Brandeis)

Monday 12th March, 2018 16:00-17:00 Maths 311B

Abstract

Artin groups arise naturally as fundamental groups of hyperplane complements.  They form a large and diverse collection of groups which include braid groups, free groups, free abelian groups and many more.  While some classes of Artin groups are well understood, many remain mysterious, with even very basic questions unanswered.  In this talk we will review what is known and not known, then discuss some old and some new geometric techniques for studying these groups.

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