P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2)

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.

24 pages. v2: minor updates to references and acknowledgements

References in corpus (3)

• Local Whittaker-Newforms for GSp(4) matching to Langlands parameters
• Euler Systems for ${\mathrm{GSp}}_4\times {\mathrm{GL}}_2$
• On some zeta-integrals for unramified representations of GSp(4)

Cited by in corpus (3)

• On some zeta-integrals for unramified representations of GSp(4)
• On the Bloch--Kato conjecture for GSp(4) x GL(2)
• On p-adic regulators for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2)