The local twisted Gan-Gross-Prasad conjecture for $\text{GL(V)/U(V)}$
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913874145443840 |
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| author | Le, Nhat Hoang |
| author_facet | Le, Nhat Hoang |
| contents | In this paper, following the method developed by J.-L. Waldspurger and R. Beuzart-Plessis for Bessel models, we study two local relative trace formulas for the local twisted Gan-Gross-Prasad conjecture. By obtaining spectral expansions and a partial geometric comparision between the two formulas, we prove the local twisted Gan-Gross-Prasad conjecture for $\text{GL(V)/U(V)}$ over nonarchimedean fields for tempered representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21002 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The local twisted Gan-Gross-Prasad conjecture for $\text{GL(V)/U(V)}$ Le, Nhat Hoang Representation Theory Number Theory In this paper, following the method developed by J.-L. Waldspurger and R. Beuzart-Plessis for Bessel models, we study two local relative trace formulas for the local twisted Gan-Gross-Prasad conjecture. By obtaining spectral expansions and a partial geometric comparision between the two formulas, we prove the local twisted Gan-Gross-Prasad conjecture for $\text{GL(V)/U(V)}$ over nonarchimedean fields for tempered representations. |
| title | The local twisted Gan-Gross-Prasad conjecture for $\text{GL(V)/U(V)}$ |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2504.21002 |