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Automorphic representations, Shimura varieties, and motives. Ein Märchen. (English) Zbl 0447.12009
Automorphic forms, representations and L-functions, Proc. Symp. Pure Math. Am. Math. Soc., Corvallis/Oregon 1977, Proc. Symp. Pure Math. 33, No. 2, 205-246 (1979).

MSC:
11R39 Langlands-Weil conjectures, nonabelian class field theory
22E50 Representations of Lie and linear algebraic groups over local fields
22E55 Representations of Lie and linear algebraic groups over global fields and adèle rings
20G35 Linear algebraic groups over adèles and other rings and schemes
20G25 Linear algebraic groups over local fields and their integers
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
11S37 Langlands-Weil conjectures, nonabelian class field theory
11F85 \(p\)-adic theory, local fields
11F27 Theta series; Weil representation; theta correspondences