Vinberg lecture part 4. Automorphic forms
This lecture is part of a series which gives an expanded version of the Vinberg lecture on "Vinberg's algorithm and Kac-Moody algebras". This video is part 4 and describes the relation between hyperbolic reflection groups and automorphic forms.
In the problems at the end I forgot to mention the problem of relating Bugaenko's cocompact reflection groups to automorphic forms.
The paper by Sun, Wang, Williams classifying some hyperbolic reflection groups related to automorphic forms is here:
https://arxiv.org/abs/2312.03234
The original version of the lecture is here:
https://amathr.org/Borcherds-vinberg/
For the earlier parts of this lecture see
• Vinberg lecture