|Affiliation||The University of Tokyo|
|Time||Jan 11 16:50~17:10|
|Title||The Lawerence-Krammer-Bigelow representation detects the dual Garside length|
The Lawerence-Krammer-Bigelow representation (LKB representation) is a linear representation of the braid groups, proven to be faithful by Krammer and Bigelow around 2000. In this talk we prove that the LKB representation detects the dual Garside length, that was conjectured by Krammer. It is remarkable that, despite the analogy with Krammer's algebraic result, our proof is rather based on Bigelow's geometric techniques. This is a joint work with Bert Wiest (Univ. Rennes 1).