Affine Kazhdan Lusztig polynomials and decomposition
numbers

Abstract: I
will discuss certain combinatorially defined polynomials,

called affine Kazhdan-Lusztig polynomials, which
can be

used to compute important quantities in representation
theory.

The talk will dsecribe the representation theoretic
quantities,

the recursive definition of the KL polynomials,
and an efficient

method for computing the KL polynomials.