- 4607B South Hall
- Discrete Geometry Seminar
There is a natural relationship between the symmetric group and the braid group which can be seen through the construction of an arrangement of hyperplanes in complex space. A similar construction can be used for any finite Coxeter group and its corresponding Artin group, although it is a little less easy to see how the hyperplanes are arranged in this setting. The Salvetti complex gives us a (relatively) simple way to introduce a finite cell structure on the complement of the arrangement, easing our computations. In today’s talk we will assume none of the above definitions - awareness of the fundamental group and cell complexes are the only prerequisites.