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The stabilization of the Frobenius-Hecke traces on the intersection cohomology of orthogonal Shimura varieties = La stabilisation des traces de Frobenius-Hecke sur la cohomologie d’intersection des variétés des Shimura orthogonales / Yihang Zhu

By: Resource type: Ressourcentyp: BuchBookLanguage: English Summary language: French, English Series: Astérisque ; 453 (2024)Publisher: Paris : Société Mathématique de France, [2024]Copyright date: © 2024Description: ix, 292 Seiten ; 24 cmISBN:
  • 9782379052033
Other title:
  • La stabilisation des traces de Frobenius-Hecke sur la cohomologie d’intersection des variétés des Shimura orthogonales
Subject(s): Additional physical formats: No title | Erscheint auch als: The stabilization of the Frobenius-Hecke traces on the intersection cohomology of orthogonal Shimura varieties. Online-Ausgabe Paris : Société Mathématique de France, 2024. 1 Online-Ressource (ix, 292 Seiten)MSC: MSC: 11G18 | 11G40 | 11F80 | 14G35RVK: RVK: SI 832Summary: We study Shimura varieties associated with special orthogonal groups over the field of rational numbers. We prove a version of Morel’s formula for the Frobenius-Hecke traces on the intersection cohomology of the Baily-Borel compactification. Our main result is the stabilization of this formula. As an application, we compute the Hasse-Weil zeta function of the intersection cohomology in some special cases, using the recent work of Arthur and Taïbi on the endoscopic classification of automorphic representations of special orthogonal groupsPPN: PPN: 1912762420
Holdings
Item type Home library Shelving location Call number Status Barcode
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Z 533-453.2024 Available 36540569090
Total holds: 0

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