Stable homology of braid groups with symplectic coefficients
De Dan Petersen
Apparaît dans la collection : Higher Algebra, Geometry, and Topology / Algèbre, Géométrie et Topologie Supérieures
There is a family of symplectic representations of the braid groups given by the "integral reduced Burau representation". I will explain a calculation of the stable homology of the braid groups with coefficients in this Burau representation, composed with any algebraic rational representation of the symplectic group. The answer has important consequences in analytic number theory. (Joint with Bergström-Diaconu-Westerland.)
