Kazhdan-Lusztig polynomials
and intersection cohomology complexes on the flag variety
Notes from a four hour lecture course given at CIRM, Luminy in April
2011
as part of the conference Flag
Varieties organised by Cédric Bonnafé.
.
Lecture 1: Coxeter Groups, Hecke Algebras and the
Kazhdan-Lusztig basis
Slides for Lecture 1: Coxeter complexes and
Kazhdan-Lusztig polynomials
Daniel's Lecture 2: Sheaves, functors, and
constructible sheaves
Lecture 2: The derived category of constructible
sheaves, perverse sheaves and the decomposition theorem
Lecture 3: Categorifying the Hecke algebra