Ordinary local representations and $\Ext$ groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
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| _version_ | 1866909044483031040 |
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| author | Banerjee, Debargha Das, Srijan |
| author_facet | Banerjee, Debargha Das, Srijan |
| contents | We can associate an admissible unitary representation $Π(ρ_p)$ of $\GL_2(\Q_p)$ with every local Galois representation $ρ_p$ by the $p$-adic local Langlands correspondence. If $ρ_p$ is ordinary, we prove local and global vanishing results for $\Ext$ functors with respect to these representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_02238 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Ordinary local representations and $\Ext$ groups Banerjee, Debargha Das, Srijan Number Theory We can associate an admissible unitary representation $Π(ρ_p)$ of $\GL_2(\Q_p)$ with every local Galois representation $ρ_p$ by the $p$-adic local Langlands correspondence. If $ρ_p$ is ordinary, we prove local and global vanishing results for $\Ext$ functors with respect to these representations. |
| title | Ordinary local representations and $\Ext$ groups |
| topic | Number Theory |
| url | https://arxiv.org/abs/2210.02238 |