the birch and swinnerton-dyer conjecture relates the leading coefficient of the l-function of an elliptic curve at its central critical point to global arithmetic invariants of the elliptic curve. beilinson’s conjectures generalize the bsd conjecture to formulas for values of motivic l-functions at non-critical points. in this talk, i will relate motivic cohomology classes, with non-trivial coefficients, of picard modular surfaces to a non-critical value of the motivic l-function of certain automorphic representations of the group gu(2,1).