| Softcover ISBN: | 978-2-85629-919-7 |
| Product Code: | AST/418 |
| List Price: | $82.00 |
| AMS Member Price: | $65.60 |
| Softcover ISBN: | 978-2-85629-919-7 |
| Product Code: | AST/418 |
| List Price: | $82.00 |
| AMS Member Price: | $65.60 |
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Book DetailsAstérisqueVolume: 418; 2020; 308 ppMSC: Primary 22; 11; 20
In this volume, the author, inspired by earlier work of Waldspurger on orthogonal groups, proves a sort of local trace formula which is related to the local Gan-Gross-Prasad conjecture over any local field F of characteristic zero. As a consequence, the author obtains a geometric formula for certain multplicities \(m(\pi)\) appearing in this conjecture and deduces from it a weak form of the local Gan-Gross-Prasad conjecture (multiplicity one in tempered L-packets). These results were already known over \(p\)-adic fields by the author's previous work and thus are new only when \(F=\mathbb{R}\). However, the proof presented here works uniformly over all local fields of characteristic zero.
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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In this volume, the author, inspired by earlier work of Waldspurger on orthogonal groups, proves a sort of local trace formula which is related to the local Gan-Gross-Prasad conjecture over any local field F of characteristic zero. As a consequence, the author obtains a geometric formula for certain multplicities \(m(\pi)\) appearing in this conjecture and deduces from it a weak form of the local Gan-Gross-Prasad conjecture (multiplicity one in tempered L-packets). These results were already known over \(p\)-adic fields by the author's previous work and thus are new only when \(F=\mathbb{R}\). However, the proof presented here works uniformly over all local fields of characteristic zero.
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.
