Seminar on low-dimensional mathematics "Moscow-Petersburg"
March 14, 2003

David Bessis (Lyon-Moscow).

Title : "Presentations for braid groups of complex reflection groups".

Abstract : "The classical braid group introduced by Artin is the fundamental
group of the space of regular orbits for the symmetric group, seen as a
complexified type A reflection group. Later, Brieskorn proved that
generalized braid groups associated to other real reflection groups also
admit nice presentations, obtained by forgetting the quadratic relations in
the Coxeter presentation. A few years ago, Brou\'e-Malle-Rouquier studied
braid groups associated to complex reflection groups; they computed
presentations for all cases but six exceptions. In a recent work with Jean
Michel, we obtained the six remaining presentations."

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Seminar home-page http://www.pdmi.ras.ru/~lowdimma