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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.03544 |
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| _version_ | 1866918011412152320 |
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| author | Paškūnas, Vytautas Quast, Julian |
| author_facet | Paškūnas, Vytautas Quast, Julian |
| contents | We associate infinitesimal characters to $p$-adic families of Lafforgue's pseudocharacters of the absolute Galois group of a $p$-adic local field by extending a construction of Dospinescu, Schraen and the first author. We use this construction to study the action of the centre of the universal enveloping algebra on the locally analytic vectors in the Hecke eigenspaces of the completed cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_03544 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Infinitesimal characters and Lafforgue's pseudocharacters Paškūnas, Vytautas Quast, Julian Number Theory We associate infinitesimal characters to $p$-adic families of Lafforgue's pseudocharacters of the absolute Galois group of a $p$-adic local field by extending a construction of Dospinescu, Schraen and the first author. We use this construction to study the action of the centre of the universal enveloping algebra on the locally analytic vectors in the Hecke eigenspaces of the completed cohomology. |
| title | Infinitesimal characters and Lafforgue's pseudocharacters |
| topic | Number Theory |
| url | https://arxiv.org/abs/2505.03544 |