Arithmetic Gan-Gross-Prasad conjecture for RSZ unitary Shimura curves

DOI10.1142/S1793042124501112MaRDI QIDQ6628930

Yuta Nakayama

Publication date: 29 October 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

\(L\)-functionsShimura varietiesautomorphic representationsarithmetic Gan-Gross-Prasad conjecture

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Arithmetic aspects of modular and Shimura varieties (11G18)

Cites Work

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• Arithmetic theta lifting and \(L\)-derivatives for unitary groups. I
• The Hodge conjecture and arithmetic quotients of complex balls
• Heegner points and derivatives of \(L\)-series
• Arithmetic theta lifts and the arithmetic Gan-Gross-Prasad conjecture for unitary groups
• On Shimura varieties for unitary groups
• Fourier-Jacobi cycles and arithmetic relative trace formula
• The Gross-Zagier Formula on Shimura Curves
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Restrictions of representations of classical groups: examples
• Arithmetic diagonal cycles on unitary Shimura varieties
• Heights of Heegner points on Shimura curves.

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