Seminar Event Detail

RTG Seminar on Geometry, Dynamics and Topology

Date:  Wednesday, November 29, 2017
Location:  3866 East Hall (4:00 PM to 5:30 PM)

Title:  The Burau representation of the braid group

Abstract:   The Burau representation is a representation of the braid groups that was first defined and studied in the 1930's. It is an open question whether this representation is faithful for n=4. I will describe this representation in terms of covering spaces, discuss what is understood about the (non-)faithfulness of this representation for other n, and explain how the n=4 case is connected to the long-standing open problem in knot theory of whether the Jones polynomial is an unknot detector.


Speaker:  Diana Hubbard
Institution:  U Michigan

Event Organizer:   Van Limbeek


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