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Cohomology of local systems on the moduli of principally polarized abelian surfaces
Let A 2 be the moduli stack of principally polarized abelian surfaces.Let ޖ be a smooth -adic sheaf on A 2 associated to an irreducible rational finitedimensional representation of Sp(4).We give an explicit expression for the cohomology of ޖ in any degree in terms of Tate-type classes and Galois representations …