On an Analog of Selberg's Eigenvalue Conjecture for SL_3(Z)

Sultan Catto, Jonathan Huntley, Jay Jorgenson +1

Let H be the homogeneous space associated to the group PGL_3(R). Let X=Γ/H where Γ=SL_3(Z) and consider the first non-trivial eigenvalue λ_1 of the Laplacian on L^2(X). Using geome…