| Softcover ISBN: | 978-2-85629-871-8 |
| Product Code: | AST/396 |
| List Price: | $90.00 |
| AMS Member Price: | $72.00 |
| Softcover ISBN: | 978-2-85629-871-8 |
| Product Code: | AST/396 |
| List Price: | $90.00 |
| AMS Member Price: | $72.00 |
-
Book DetailsAstérisqueVolume: 396; 2018; 360 ppMSC: Primary 22; Secondary 11
This volume elaborates the idea that harmonic analysis on a spherical variety \(X\) is intimately connected to the Langlands program. In the local setting, the key conjecture is that the spectral decomposition of \(L^2(X)\) is controlled by a dual group attached to \(X\). Guided by this, the authors develop a Plancherel formula for \(L^2(X)\), formulated in terms of simpler spherical varieties which model the geometry of \(X\) at infinity. This local study is then related to global conjectures—namely, conjectures about period integrals of automorphic forms over spherical subgroups.
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.
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Additional Material
- Requests
This volume elaborates the idea that harmonic analysis on a spherical variety \(X\) is intimately connected to the Langlands program. In the local setting, the key conjecture is that the spectral decomposition of \(L^2(X)\) is controlled by a dual group attached to \(X\). Guided by this, the authors develop a Plancherel formula for \(L^2(X)\), formulated in terms of simpler spherical varieties which model the geometry of \(X\) at infinity. This local study is then related to global conjectures—namely, conjectures about period integrals of automorphic forms over spherical subgroups.
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.
