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P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2) (2011.15064v2)
Published 30 Nov 2020 in math.NT
Abstract: We develop a (largely conjectural) theory of p-adic L-functions interpolating square roots of central L-values for automorphic forms on GSp(4) x GL(2) x GL(2), and a relation between these p-adic L-functions and families of Galois cohomology classes interpolating algebraic cycles. Our theory is a generalisation of the theory of "diagonal cycles" developed by Darmon and Rotger for the GL(2) triple product.
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