On periods of cusp forms and algebraic cycles for \(U(3)\)

DOI10.1007/BF02764643zbMath0789.11033MaRDI QIDQ690058

Jonathan D. Rogawski, David Soudry, Stephen Gelbart

Publication date: 11 December 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodscuspidal representationShimura varietyexistence of algebraic cyclesquasi-split unitary group \(U(3)\)theta-lift

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Modular and Shimura varieties (14G35)

Related Items (9)

Poles of \(L\)-functions, periods and unitary theta. I: Odd to even ⋮ Fourier-Jacobi periods and the central value of Rankin-Selberg \(L\)-functions ⋮ Theta dichotomy for unitary groups ⋮ Algebraic cycles on Shimura varieties of orthogonal type ⋮ The Gan-Gross-Prasad conjecture for \(\mathrm{U}(n) \times \mathrm{U}(n)\) ⋮ The Hodge conjecture and arithmetic quotients of complex balls ⋮ Generic representations for the unitary group in three variables ⋮ The nonarchimedean theta correspondence for $\mathrm {GSp}(2)$ and $\mathrm {GO}(4)$ ⋮ Theta liftings for quasi-split unitary groups

Cites Work

• Hypercuspidality of automorphic cuspidal representations of the unitary group \(\mathrm{U}(2,2)\)
• Howe correspondences on a \(p\)-adic field
• \(L\)-functions and Fourier-Jacobi coefficients for the unitary group \(U(3)\)
• Theta liftings for quasi-split unitary groups
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
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