Siegel modular forms of degree two and three and invariant theory

TL;DR

This paper surveys the construction of Siegel modular forms of degrees two and three utilizing invariant theory, highlighting methods and results developed in collaboration with Cléry and Faber.

Contribution

It provides a comprehensive overview of invariant-theoretic approaches to constructing Siegel modular forms of degrees two and three.

Findings

Construction methods for degree 2 and 3 Siegel modular forms

Connections between invariant theory and modular forms

Collaborative framework with Cléry and Faber

Abstract

This is a survey based on the construction of Siegel modular forms of degree 2 and 3 using invariant theory in joint work with Fabien Cl\'ery and Carel Faber.