| Bemerkung |
Course format: The lectures of this course will take place at the indicated times in video-conference via Zoom. Details will be posted on the Moodle page of the course in due time.
Tentative program: The aim of the course is to introduce the basic theory of modular forms and related topics. We will talk about the definition of modular forms, their q-expansions, Hecke operators, L-functions, and modular curves. If time permits, we shall talk about Maass forms and automorphic forms for GL_2. Basic knowledge of complex analysis is requested.
References:
[1] F. Diamond and J. Shurman, A first course in modular forms, GTM 228, Springer, 2005.
[2] D. Bump, Automorphic forms and representations, CSAM 55, Cambridge University Press, 1997.
[3] N. Koblitz, Introduction to elliptic curves and modular forms, GTM 97, Springer, 1984.
[4] D. Goldfeld and J. Hundley, Automorphic Representations and L-functions for the General Linear Group, CSAM 129, Cambridge University Press, 2011. |
