The representation theory of p-adic groups has been a powerful tool for studying automorphic forms. In this talk I will give an overview of our understanding of the category of (smooth complex) representations of p-adic groups with a focus on recent developments and work in progress.
Links:
[1] https://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/de/node/3444
[3] https://www.mpim-bonn.mpg.de/de/node/11596