I gave an introduction to stabilization in the context of the relative trace formula at the University of Copenhagen, August 22-26. The lectures were largely based on Chapters 14, 16, 17, and 18 of my book with Heekyoung Hahn
I gave a series of virtual course at the Hausdorff Center for Mathematics in 2021. The lectures contain ideas that have not appeared in print, including a nonabelian version of the circle method and suggestions for applying known cases of the Poisson summation conjecture to pursue new avenues in the circle method. The videos and lecture notes are here.
