D. Goldfeld, Automorphic representations
- Mathematics G6659
- Section 001, Call Number: 16397, Points: 4.5
- Day/Time: TR 11:00am-12:15pm
- Location: 307 Mathematics Building, Columbia University
Course descrition: This course presents the Jacquet-Langlands theory of automorphic representations for GL(2). The stress will be to develop the theory with many concrete explicit examples. Topics to be covered include: Fourier analysis on the adele group, Classical theory of automorphic forms for GL(2), Automorphic forms on the adele group, Automorphic representations, Local theory - principal series representations, special representations, supercuspidal representations, (g, K)-modules, Tensor products of local representations, L-functions, Godement-Jacquet proof of the analytic continuation and functional equation of L-functions.