This article at the website for the Atlas of Lie Groups and Representations provides more details for last week’s highly touted announcement of the computation of the Kahzdan-Lusztig-Vogan polynomials for E8. It sounds like they were as surprised as anyone that the announcement made such a big media splash.
As I mention in my “Why We Care” post, Dr. Vogan’s slides are also very accessible, even starting at a lower level than Jeff writes in the article you link.
[...] John Armstrong has written an overview of the representation theory of real reductive groups, based on a series of lectures by Gregg Zuckerman. The focus is providing enough background to understand the significance of the Atlas of Lie Group’s highly touted announcement. I particularly recommend the first post as a whirlwind introduction to the theory: [...]