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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2103.11570 |
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| _version_ | 1866929319527317504 |
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| author | Meli, Alexander Bertoloni |
| author_facet | Meli, Alexander Bertoloni |
| contents | The goal of this paper is extend Kottwitz's theory of $B(G)$ for global fields. In particular, we show how to extend the definition of "$B(G)$ with adelic coefficients" from tori to all connected reductive groups. As an application, we give an explicit construction of certain transfer factors for non-regular semisimple elements of non-quasisplit groups. This generalizes some results of Kaletha and Taibi. These formulas are used in the stabilization of the cohomology of Shimura and Igusa varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_11570 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Global B(G) with adelic coefficients and transfer factors at non-regular elements Meli, Alexander Bertoloni Number Theory 11S25 The goal of this paper is extend Kottwitz's theory of $B(G)$ for global fields. In particular, we show how to extend the definition of "$B(G)$ with adelic coefficients" from tori to all connected reductive groups. As an application, we give an explicit construction of certain transfer factors for non-regular semisimple elements of non-quasisplit groups. This generalizes some results of Kaletha and Taibi. These formulas are used in the stabilization of the cohomology of Shimura and Igusa varieties. |
| title | Global B(G) with adelic coefficients and transfer factors at non-regular elements |
| topic | Number Theory 11S25 |
| url | https://arxiv.org/abs/2103.11570 |