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Instructors: Prof. Dr. rer. nat. Nils Scheithauer; Dr. rer. nat. Moritz Christopher Dittmann
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
Autom. Forms
Subject:
Crediting for:
Hours per week:
6
Language of instruction:
German and English
Min. | Max. participants:
- | -
Course Contents:
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
Preconditions:
recommended: Algebra, Complex Analysis
Online Offerings:
moodle
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