Virtual Workshop on Recent Developments in Geometric Representation Theory

The problem of classification of perverse sheaves on the quotient $h/W$ for a semisimple Lie algebra $g$ has an explicit answer which turns out to be related to the algebraic properties of induction and restriction operations for parabolic subalgebras in $g$. For $g=gl(n)$ we get a relation between factorizing systems of perverse sheaves on the symmetric products of the complex line and braided Hopf algebras. Joint work with V. Schechtman.