Vinberg lecture part 1.Vinberg's algorithm

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 1 and describes how Vinberg used his algorithm to calculate the reflection groups of some Lorentzian lattices. Vinberg's paper can be found at https://mathweb.tifr.res.in/sites/default/files/publications/studies/SM_07.pdf The original version of the lecture is here: https://amathr.org/Borcherds-vinberg/ For the other lectures see https://www.youtube.com/playlist?list=PL8yHsr3EFj50MVfqGTj4VF3CBS-bJeal3