Classical Perspective on Modular Forms

3 credits · Graduate Programs

Modular forms and automorphic representations and their L-functions. Modularity Theorem from two perspectives. Introduction to modular curves as moduli spaces for elliptic curves and as differential forms on modular curves. A study of L-functions attached to modular forms and the modularity theorem.An Introduction to Automorphic Representations: introduction to the Langlands Programme. A study of partial L-functions attached to automorphic representations and known instances of the Langlands Correspondence. Prerequisite(s): Admission to a graduate program in Mathematics and Statistics or consent of the Department.