Local Representations of the Braid Group - Joe Ricci

Event Date: 

Wednesday, May 27, 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

Let s_1, ..., s_n be the standard generators of B_n and x_1, ..., x_n those of F_n. This talk will investigate local representations of the braid group into Aut(F_n) that is, ones where the generator s_i maps <x_i, x_i+1> into itself and acts as the identity on all other x_j’s. A great example comes from the action of B_n on a disc with n punctures. A classification of such representations will presented as well as generalizations and connections to other types of representations.