Double affine Hecke algebras and affine flag manifolds, I

This lecture reviews the classification of simple modules of double affine Hecke algebras via the K-theory of Steinberg varieties of affine typeComment: 52 page

Canonical bases and affine Hecke algebras of type D

We prove a conjecture of Kashiwara and Miemietz on canonical bases and branching rules of affine Hecke algebras of type D. The proof is similar to the proof of the type B case.Comment: 24 page