Hyperbolic Algebras and Modular Forms

Graduate / Professional

The course is dedicated to the theory of hyperbolic Kac-Moody algebras and its automorphic extensions introduced by Borcherds. The structure and representation theory of these algebras is based on the theory of Siegel modular forms and their generalizations. The latter generalizes the classical theory of modular forms and plays an important role in the course. Students are encouredged to give talks on various related topics. TTh 2:35pm-3:50pm