Résumé
Nous précisons la signification, du point de vue de la théorie des représentations, de la signature des variétés modulaires de Hilbert. Nous montrons comment établir une forme équivariante sous l'algèbre de Hecke de la classique formule de l'indice de l'opérateur de signature, au moyen de la formule des traces de Selberg et de pseudo-coefficients. Nous montrons enfin que seuls les L-paquets automorphes diédraux contribuent à la signature.
Keywords
- Trace Formula
- Nous Allons
- Hilbert Modular Surface
- Produit Tensoriel
- Simplement Connexe
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© 1990 Springer-Verlag
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Labesse, JP. (1990). Signature des variétés modulaires de Hilbert et representations diédrales. In: Labesse, JP., Schwermer, J. (eds) Cohomology of Arithmetic Groups and Automorphic Forms. Lecture Notes in Mathematics, vol 1447. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085732
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DOI: https://doi.org/10.1007/BFb0085732
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