Euler systems for GSp(4)

Abstract

We construct an Euler system for Galois representations associated to cohomological cuspidal automorphic representations of the group GSp(4), using the pushforwards of Eisenstein classes for GL(2) x GL(2).

41 pages. To appear in "Journal of the European Mathematical Society" (see https://www.ems-ph.org/journals/forthcoming.php?jrn=jems )

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Cited by in corpus (18)

• Higher Hida theory and p-adic L-functions for GSp(4)
• On the Bloch-Kato conjecture for GSp(4)
• Spherical varieties and norm relations in Iwasawa theory
• An Euler system for GU(2, 1)
• A higher rank Euler system for the multiplicative group over a totally real field
• Euler systems with local conditions
• Anticyclotomic Euler systems for unitary groups
• P-adic L-functions and diagonal cycles for GSp(4) x GL(2) x GL(2)
• On p-adic regulators for GSp(4) x GL(2) and GSp(4) x GL(2) x GL(2)
• On the Bloch--Kato conjecture for GSp(4) x GL(2)
• Iwasawa theory for quadratic Hilbert modular forms
• Spinor Euler factors for GSp(4) in the subregular case
• Regular poles for spinor $L$-series attached to split Bessel models of $\mathrm{GSp}(4)$
• P-adic L-functions for GL(3)
• Special cycles on orthogonal Shimura varieties
• On the Birch-Swinnerton-Dyer conjecture for modular abelian surfaces
• Norm-compatible systems of cohomology classes for $\mathrm{GU}(2,2)$
• Iwasawa theory of automorphic representations of ${\mathrm{GL}}_{2n}$ at non-ordinary primes