Igusa stacks and applications - lecture 1

I will report on the joint work in progress with Patrick Daniels, Pol van Hoften and Daniel Kim on abelian type Igusa stacks and their applications. The first lecture of the series will be about two classical examples of local and global Langlands correspondences. The second lecture will be about the construction of abelian type Igusa stacks and their applications to studying the cohomology of Shimura varieties, using the tools from categorical local Langlands