Uniform bounds for maximal flat periods on $SL_n(\mathbb{R})$
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916912505552896 |
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| author | Harris, Phillip |
| author_facet | Harris, Phillip |
| contents | 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 $Y$ . |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15450 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniform bounds for maximal flat periods on $SL_n(\mathbb{R})$ Harris, Phillip Number Theory 11F03 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 $Y$ . |
| title | Uniform bounds for maximal flat periods on $SL_n(\mathbb{R})$ |
| topic | Number Theory 11F03 |
| url | https://arxiv.org/abs/2410.15450 |