Abstract: Igusa stacks are $p$-adic geometric objects, recently introduced by Mingjia Zhang, that roughly parametrize ways to $p$-adically uniformize (global) Shimura varieties by local Shimura varieties. In joint work with Patrick Daniels, Pol van Hoften, and Mingjia Zhang, we construct Igusa stacks for all abelian type Shimura data and apply them to the study of $\ell$-adic cohomology of Shimura varieties. I will discuss the geometric ingredients that go into the construction as well as how it naturally fits into Fargues--Scholze's framework of categorical local Langlands