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Modular forms for genus 2 and 3

Posted in
Speaker: 
Gerard van der Geer
Affiliation: 
Universiteit van Amsterdam/MPI
Date: 
Wed, 2017-06-28 16:30 - 17:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

The best-known modular forms are elliptic modular forms;
a natural generalization are vector-valued Siegel modular forms of genus g.
For genus 2 and 3 these modular forms are intimately connected with
the moduli of curves of genus 2 and 3. We give an explicit way to
describe such vector-valued modular forms for genus 2 and 3
using invariant theory and give some applications.
This is based on joint work with Fabien Clery and Carel Faber.

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