EULER SYSTEMS FOR HILBERT MODULAR SURFACES

DOI10.1017/fms.2018.23zbMath1437.11073arXiv1607.07813OpenAlexW2486683666WikidataQ115288113 ScholiaQ115288113MaRDI QIDQ4555463

Sarah Livia Zerbes, Antonio Lei, David Loeffler

Publication date: 20 November 2018

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07813

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Galois representations (11F80) Iwasawa theory (11R23) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (14)

Euler systems for \(\mathrm{GSp}(4)\) ⋮ Gross-Prasad periods for reducible representations ⋮ Non-paritious Hilbert modular forms ⋮ Finite slope triple product \(p\)-adic \(L\)-functions over totally real number fields ⋮ Euler systems and the Bloch-Kato conjecture for automorphic Galois representations ⋮ On 𝑝-adic families of special elements for rank-one motives ⋮ Norm-compatible systems of Galois cohomology classes for \(\mathrm{GSp}_6\) ⋮ \(p\)-adic Asai \(L\)-functions of Bianchi modular forms ⋮ On norm relations for Asai–Flach classes ⋮ Syntomic regulators of Asai-Flach classes ⋮ Norm-compatible systems of cohomology classes for GU(2,2) ⋮ Higher Hida theory and \(p\)-adic \(L\)-functions for \(\mathrm{GSp}_4\) ⋮ Spherical varieties and norm relations in Iwasawa theory ⋮ A construction of \(p\)-adic Asai \(L\)-functions for \(\mathrm{GL}_2\) over CM fields

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