KVAS0396 Periods and harmonic analysis on spherical varieties.

数学分析

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出版时间
2018年02月28日
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ISBN
9782856298718
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页      码
viii, 360
语      种
英文
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图书简介
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.
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