Title: Perverse Sheaves and Applications to Representation Theory
Subjects: Mathematics, Sheaf theory, Representations of groups, Linear algebraic groups, Several complex variables and analytic spaces -- Complex singularities -- Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Group theory and generalizations -- Linear algebraic groups and related topics -- Representation theory for linear algebraic groups, Algebraic geometry -- Special varieties -- Grassmannians, Schubert varieties, flag manifolds, Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Coadjoint orbits; nilpotent varieties, Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations