2 problems

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Automorphic matrix-coefficient bound for low-rank absolutely almost simple groups
Let $K$ be a global field, let $\mathbf G$ be a connected absolutely almost simple $K$ -group, and let $W_f$ be a compact open subgroup of $\mathbf G(\bA_f)$ . For…
Conjectureopenadelic-groups automorphic-forms matrix-coefficientsarXiv posted 2 days ago
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Optimal regularity conjecture for matrix coefficients of compact symmetric pairs
Optimal regularity conjecture. Every $K$ -finite matrix coefficient $\varphi$ of a unitary representation of $G$ belongs to…
Conjectureopencompact-symmetric-pairs harmonic-analysis matrix-coefficientsarXiv posted 2 days ago

Automorphic matrix-coefficient bound for low-rank absolutely almost simple groups