| Softcover ISBN: | 978-2-37905-203-3 |
| Product Code: | AST/453 |
| List Price: | $99.00 |
| AMS Member Price: | $79.20 |
| Softcover ISBN: | 978-2-37905-203-3 |
| Product Code: | AST/453 |
| List Price: | $99.00 |
| AMS Member Price: | $79.20 |
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Book DetailsAstérisqueVolume: 453; 2024; 292 ppMSC: Primary 11; 14
The author studies Shimura varieties associated with special orthogonal groups over the field of rational numbers. He proves a version of Morel's formula for the Frobenius-Hecke traces on the intersection cohomology of the Baily-Borel compactification. His main result is the stabilization of this formula. As an application, he computes 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 groups.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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The author studies Shimura varieties associated with special orthogonal groups over the field of rational numbers. He proves a version of Morel's formula for the Frobenius-Hecke traces on the intersection cohomology of the Baily-Borel compactification. His main result is the stabilization of this formula. As an application, he computes 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 groups.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
