BEYOND ENDOSCOPY FOR THE RELATIVE TRACE FORMULA II: GLOBAL THEORY

DOI10.1017/S1474748017000032zbMath1460.11075arXiv1402.3524MaRDI QIDQ4625433

Yiannis Sakellaridis

Publication date: 22 February 2019

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3524

zbMATH Keywords

relative trace formulaperiodsL-functionsbeyond endoscopyWaldspurger's formula

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Representations of Lie and linear algebraic groups over local fields (22E50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Functorial transfer between relative trace formulas in rank \(1\), Spherical varieties, functoriality, and quantization, Relative functoriality and functional equations via trace formulas, The Schwartz space of a smooth semi-algebraic stack, Hankel transform, Langlands functoriality and functional equation of automorphic \(L\)-functions, Transfer operators and Hankel transforms between relative trace formulas. I: Character theory, Transfer operators and Hankel transforms between relative trace formulas. II: Rankin-Selberg theory

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