Korteweg-de Vries Institute for Mathematics

General Mathematics Colloquium

12Dec2018 16:00 - 16:45


Speaker: Lennart Meijer (Utrecht University)


Decomposition results for rings of modular forms


Modular forms can be either seen as highly symmetric functions on the upper half-plane or as invariants of elliptic curves (with possible extra structure). To each symmetry group, we get a corresponding ring of modular forms. These rings are central objects in number theory and are in general difficult to compute. 

After an introduction to modular forms and elliptic curves, we will demonstrate that the additive structure on these rings is much easier to understand and provide in many cases decompositions into a few simple pieces. 

Location: KdVI meeting room, Science Park 107, room F3.20

Published by  Korteweg de Vries Institute