Kernels of Langlands automorphic transfer and nonlinear Poisson formulas

DOI10.1007/s11537-014-1274-yzbMath1300.11033OpenAlexW2045264840MaRDI QIDQ2015010

Laurent Lafforgue

Publication date: 18 June 2014

Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11537-014-1274-y

zbMATH Keywords

automorphic functionsadelic Poisson formulasrepresentations over adelic ringsrepresentations over local fields

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (15)

Basic functions and unramified local \(L\)-factors for split groups ⋮ A nonabelian trace formula ⋮ Unramified Godement-Jacquet theory for the spin similitude group ⋮ From Langlands' automorphic transfer to nonlinear Poisson formulas ⋮ On the resolution of reductive monoids and multiplicativity of \(\gamma \)-factors ⋮ Spherical varieties, functoriality, and quantization ⋮ Harmonic Analysis and Gamma Functions on Symplectic Groups ⋮ Certain Fourier operators and their associated Poisson summation formulae on \(\operatorname{GL}_1\) ⋮ A stratification related to characteristic polynomials ⋮ Nonabelian Fourier transforms for spherical representations ⋮ A summation formula for triples of quadratic spaces ⋮ Zeta integrals, Schwartz spaces and local functional equations ⋮ Relative functoriality and functional equations via trace formulas ⋮ A refined Poisson summation formula for certain Braverman-Kazhdan spaces ⋮ On the Braverman-Kazhdan proposal for local factors: spherical case

Cites Work

• A lemma on highly ramified \(\epsilon\)-factors
• Converse theorems for \(\text{GL}_n\)
• Zeta functions of simple algebras
• Rankin-Selberg Convolutions

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