|Location:||MSRI: Simons Auditorium|
Kazhdan-Lusztig polynomials contain crucial data for the representation theory of reductive groups and the geometry of flag varieties.
In this talk I will review Braden-MacPherson-Fiebig's approach to KL polynomials using moment graphs. This provides an incarnation of the Hecke category where KL polynomials (or their positive characteristic analogue) can be computed using elementary algebra.
I will conclude by using moment graphs to give a purely combinatorial interpretation of the coefficient of q for KL polynomials in Type A.