Ihara's Lemma for $\mathrm{GL}_d$: the limit case
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914070794338304 |
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| author | Boyer, Pascal |
| author_facet | Boyer, Pascal |
| contents | Clozel, Harris and Taylor proposed conjectural generalizations of the classical Ihara's lemma for $\mathrm{GL}_2$, to higher dimensional similitude groups. We prove these conjectures in the so called limit case, which after base change is the essential one, under any hypothesis allowing level raising. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_11351 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ihara's Lemma for $\mathrm{GL}_d$: the limit case Boyer, Pascal Number Theory Clozel, Harris and Taylor proposed conjectural generalizations of the classical Ihara's lemma for $\mathrm{GL}_2$, to higher dimensional similitude groups. We prove these conjectures in the so called limit case, which after base change is the essential one, under any hypothesis allowing level raising. |
| title | Ihara's Lemma for $\mathrm{GL}_d$: the limit case |
| topic | Number Theory |
| url | https://arxiv.org/abs/2304.11351 |