Discrete Geometry: Artin Group Seminar - Michael Dougherty

Event Date: 

Wednesday, March 11, 2015 -
2:00pm to 3:00pm

Event Location: 

  • 4607B South Hall

Event Price: 

Free

Event Contact: 

Michael Dougherty

Email: dougherty@math.ucsb.edu

  • 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.