Braid groups are linear

Jeudi 29 novembre 2007 14:00-15:00 - Krammer Daan - Warwick

Résumé : I discuss my proof that braid groups are linear (that is, have a faithful finite dimensional representation), published in 2002, and if time suffices, Jean-Yves Hee’s recent simplication. Another proof was given by Bigelow in 2001.
We begin with Garside’s 1969 solution to the word problem in the braid group.
Contrary to Bigelow’s topological proof, we don’t need to know where the representation comes from --- in order to prove it to be faithful, all we need to know is a certain property of some entries of the matrices with respect to some basis. I briefly indicate how the representation arises from homology.
Then I discuss the remaining steps of the proof and Hee’s simplication.

Lieu : bât. 425 - 121-123

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