Some norm relations of the Eisenstein classes of GSp(4)

Abstract

We construct a norm compatible system of Galois cohomology classes in the cyclotomic extension of the field of rationnals giving rise (conjecturally) to the degree four p-adic L-function of the symplectic group GSp(4). These classes are defined as cup products of torsion sections of the elliptic polylogarithm pro-sheaf. We rely on the norm compatibility of the elliptic polylogarithm and on some weight computations in the cohomology of Siegel threefolds.

arXiv commentThe integrality statement is false. See the publication "A norm compatible system of Galois cohomology classes for GSp(4)" of the author for a correct statement and proof