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math.AG — Algebraic Geometry

On properties of Plancherel algebras

Contributed by Shurui Liu

We proved the predictions by Ben-Zvi, Sakellaridis, and Venkatesh that the Plancherel algebra $\mathrm{PL}_{X}$ is commutative and its loop-rotated version $\mathrm{PL}_{X,\hbar}$ is flat over $k[\hbar]$ .

Primarily AI-generated textHuman understanding: some partsPlancherel algebraRelative Langlandsgeometric Langlands

Sep 30, 2026PDF ↗View work →

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math.AC — Commutative Algebra
math.AG — Algebraic Geometry
math.AP — Analysis of PDEs
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