Computing Hecke operators for arithmetic subgroups of ${\text{Sp}}_4$

Dylan Galt, Mark McConnell

We outline an algorithm for computing Hecke operators on equivariant cohomology $H_{{\Gamma }_{\text{Sp}}}^{\ast }(X_{\text{Sp}};\rho )$ for the symplectic group ${\text{Sp}}_4(\mathbb{R})$. To do…