## Event Date:

Wednesday, January 25, 2017 - 2:00pm

## Event Location:

- 4607B South Hall

Speaker: Jon McCammond

Title: The Mysterious Geometry of Artin Groups: Part I

Coxeter groups are a large family of groups whose definition

is motivated by the spherical and euclidean reflection groups that

encode the symmetries of the regular polytopes and the euclidean

tilings at the heart of Lie theory, respectively.

Artin groups are another large family of groups whose definition is a

geometrically motivated variation on the definition of Coxeter groups.

The relationship between the two families is essentially the same as

the relationship between the symmetric group and the braid group.

In this short series of talks, I will introduce the geometric spaces

associated to Artin groups and describe what we know about them. The

first talk is a quick overview of some key aspects of the theory of

Coxeter groups leading to an explicit description of the spaces that

are used to define Artin groups.

November 21, 2019 - 3:25pm