Resumen de Dimension formulas for spaces of vector-valued Siegel modular forms of degree 2 and level 2

Jonas Bergström, Fabien Cléry

• Using a description of the cohomology of local systems on the moduli space of abelian surfaces with a full level 2 structure, together with a computation of Euler characteristics, we find the isotypical decomposition, under the symmetric group on six letters, of spaces of vector-valued Siegel modular forms of degree 2 and level 2.