Modular Forms
Student No.:50
Time:Tue 15:10-17:00; Fri 10:10-12:00, 2015-09-18 ~ 2015-11-17
Instructor:Gerard van der Geer  [University of Amsterdam]
Place:Conference Room 3, Floor 2, Jin Chun Yuan West Building
Starting Date:2015-9-18
Ending Date:2015-11-17


Modular forms are functions with an amazing amount of symmetry and these show up everywhere in mathematics: in algebraic geometry, in number theory, in combinatorics and even in theoretical physics. They played a key role in the proof of Fermat’s Last Theorem. The course is intended as an introduction. We shall treat the classical theory of elliptic modular forms, but also deal with modular forms in several variables, like (vector-valued) Siegel modular forms.




A moderate knowledge of the theory of functions of a complex variable and of algebraic geometry will be useful.




Bruinier, van der Geer, Harder, Zagier: The 1-2-3 of Modular forms.

Springer Verlag; more references will be given during the course.