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Modular Forms
| Credits |
8 credit points |
| Instructors |
Geer, G.B.M. van der (Universiteit van Amsterdam) |
| E-mail |
geer@science.uva.nl |
| Aim |
This course intends to give an introduction to the area of modular forms. Prerequisites are a (modest) knowledge of algebra and function theory. |
| Description |
Topics treated are: modular forms on SL(2,Z), Hecke operators, modular symbols, Atkin-Lehner theory, periods, Dirichlet series, modular curves, Eichler-Shimura, Galois representations Siegel modular forms. |
| Literature |
F. Diamond, J. Shurman: A first course in modular forms. Graduate Texts in Math 228, Springer Verlag 2005.
W. Stein: Modular Forms, a computational approach. Graduate Studies in Math. AMS 2007.
G. Shimura: Introduction to the arithmetic theory of automorphic functions. Princeton University Press.
More references to the literature will be given during the course. |
| Prerequisites |
Prerequisites are a (modest) knowledge of algebra and function theory. |
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