04-10-0580-vu Selected Topics in Algebra: Modular forms and modular curves

Instructors: Prof. Dr. rer. nat. Anna-Maria von Pippich; David Christian Klein

Event type: Lecture & Exercise

Org-unit: Dept. 04 - Mathematics

Displayed in timetable as: 04-10-0580-vu

Subject:

Crediting for:

Hours per week: 6

Language of instruction: German and English

Min. | Max. participants: - | -

Course Contents:
Modular forms for the modular group and its congruence subgroups.

Examples: Eisenstein series, Dedekind eta function, theta series.

Modular curves as Riemann surfaces and as algebraic curves.

Arithmetic applications and conjectures.

Literature:
Henri Cohen, Fredrik Strömberg: Modular forms. A classical approach. AMS Graduate Studies of Mathematics, 2017.

Fred Diamond, Jerry Shurman: A first course in modular forms. Springer, 2005.

Toshitsune Miyake: Modular forms. Springer, 1989.

Preconditions:
Algebra, Funktionentheorie

Online Offerings:
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