Representation theory of algebraic groups, quantum groups and Hecke algebras

证明了奇异幂零锥的交上同调与C型Weyl群的不可约特征标之间的Springer对应，从而证明了Achar-Henderson关于这种交上同调的Poincare多项式的猜想.

Proved the Springer correspondence between the intersection cohomologies arising from the exotic nilpotent cone and irreducible characters of Weyl groups of type C. By using this, proved the conjecture of Achar-Henderson concerning with Poincare polynomials of such intersection cohomologies.