Lehrinhalte
Dirichlet L-functions, modular forms, Eisenstein series, theta series, Hecke operators and L-functions, congruence subgroups, oldforms and newforms, connection with ellpitic curves, automorphic forms for GL(1) and GL(2).
Literature
D. Bump: Automorphic Forms and Representations, Cambridge University Press
A. Deitmar: Automorphe Formen, Springer
A. Knapp: Elliptic Curves, Princeton University Press
M. Koecher, A. Krieg: Elliptische Funktionen und Modulformen, Springer
D. Bump et.al.: An Introduction to the Langlands Programm, Birkhäuser
J.H. Bruinier, G. van der Geer, G. Harder, D. Zagier: The 1-2-3 of Modular Forms, Springer
Voraussetzungen
recommended: Algebra, Complex Analysis
Online-Angebote
moodle
Dirichlet L-functions, modular forms, Eisenstein series, theta series, Hecke operators and L-functions, congruence subgroups, oldforms and newforms, connection with ellpitic curves, automorphic forms for GL(1) and GL(2).
Literature
D. Bump: Automorphic Forms and Representations, Cambridge University Press
A. Deitmar: Automorphe Formen, Springer
A. Knapp: Elliptic Curves, Princeton University Press
M. Koecher, A. Krieg: Elliptische Funktionen und Modulformen, Springer
D. Bump et.al.: An Introduction to the Langlands Programm, Birkhäuser
J.H. Bruinier, G. van der Geer, G. Harder, D. Zagier: The 1-2-3 of Modular Forms, Springer
Voraussetzungen
recommended: Algebra, Complex Analysis
Online-Angebote
moodle
- Lehrende: Jan Bruinier
- Lehrende: Ingmar Metzler
Semester: WT 2022/23