The local twisted Gan-Gross-Prasad conjecture for $\text{U}(V_K)/\text{U}(V)$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917055480987648 |
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| author | Le, Nhat Hoang |
| author_facet | Le, Nhat Hoang |
| contents | In this paper, we obtain geometric expansions of a local trace formula and its twisted variant for the twisted Gan-Gross-Prasad conjecture. As an application, we prove the local twisted Gan-Gross-Prasad conjecture for $U(V_K)/U(V)$ for tempered $L$-parameters over nonarchimedean fields of odd residual characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01301 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The local twisted Gan-Gross-Prasad conjecture for $\text{U}(V_K)/\text{U}(V)$ Le, Nhat Hoang Representation Theory Number Theory In this paper, we obtain geometric expansions of a local trace formula and its twisted variant for the twisted Gan-Gross-Prasad conjecture. As an application, we prove the local twisted Gan-Gross-Prasad conjecture for $U(V_K)/U(V)$ for tempered $L$-parameters over nonarchimedean fields of odd residual characteristic. |
| title | The local twisted Gan-Gross-Prasad conjecture for $\text{U}(V_K)/\text{U}(V)$ |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2511.01301 |