Informal Friday Seminar: Parkinson -- Hecke algebras with unequal parameters, part II: Plancherel theorems

This is the second talk in a two-part series about Hecke algebras with unequal
parameters.  In the first part we discussed the main definitions of Kazhdan-Lusztig
theory in this setting (the Kazhdan-Lusztig basis, Kazhdan-Lusztig polynomials, cells,
cell modules, the a-function, the asymptotic algebra, and Lusztig’s conjectures).  In
the second part we will discuss Plancherel Theorems for (mainly affine) Hecke algebras,
and show how they are (conjecturally) connected to Kazhdan-Lusztig theory.  The focus
will be on examples, with $B_2$ and $\tilde{A}_1$ getting the most attention.  For notes
from the first talk and more information about this seminar, see the Informal Friday 
Seminar webpage: https://sites.google.com/view/ifssydney/home