Serie : Astérisque. Vol 396
Paru le 01/01/2018 | Broché VIII-360 pages
Professionnels
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 L2(X) is controlled by a dual group attached to X. Guided by this, the authors develop a Plancherel formula for L2(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.
