The generalized Ramanujan conjecture predicts that all cuspidal automorphic representations for GL(n) are tempered. A density theorem is a certain quantitative approximation towards the Ramanujan conjecture that in many cases serves as a good substitute. In this talk I will survey results, methods, and applications.
Video-Recording [4]
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/11842
[4] https://archive.mpim-bonn.mpg.de/id/eprint/4958/1/blomer_yobo_medium.mp4