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arXiv · 2410.15450

Uniform bounds for maximal flat periods on $SL_n(\mathbb{R})$

Phillip Harris
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Abstract

Let $X$ be a compact locally symmetric space associated to $SL_n(\mathbb{R})$ and $Y \subset X$ a maximal flat submanifold, not necessarily closed. Using a Euclidean approximation, we give an upper bound in the spectral aspect for Maass forms integrated against a smooth cutoff function on $Y$ .

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Phillip Harris. 2024-10-20. Uniform bounds for maximal flat periods on $SL_n(\mathbb{R})$. https://arxiv.org/abs/2410.15450

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