Langlands parameters for Moy-Prasad types
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908527846490112 |
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| author | Chen, Tsao-Hsien DeBacker, Stephen Tsai, Cheng-Chiang |
| author_facet | Chen, Tsao-Hsien DeBacker, Stephen Tsai, Cheng-Chiang |
| contents | Suppose $G$ is a tamely ramified $p$-adic reductive group. We construct a partial local Langlands correspondence between the set of irreducible smooth representations of $G$ having depth $r$ and a certain set of $G^\vee$-conjugacy classes of continuous homomorphisms $φ:I_F^r\rightarrow G^{\vee}$. Here $G^\vee$ is the dual group of $G$, and $I_F^r$ is the $r^{\text{th}}$ upper-numbering filtration subgroup of the inertia subgroup $I_F$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07780 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Langlands parameters for Moy-Prasad types Chen, Tsao-Hsien DeBacker, Stephen Tsai, Cheng-Chiang Representation Theory 20G25, 22E50 Suppose $G$ is a tamely ramified $p$-adic reductive group. We construct a partial local Langlands correspondence between the set of irreducible smooth representations of $G$ having depth $r$ and a certain set of $G^\vee$-conjugacy classes of continuous homomorphisms $φ:I_F^r\rightarrow G^{\vee}$. Here $G^\vee$ is the dual group of $G$, and $I_F^r$ is the $r^{\text{th}}$ upper-numbering filtration subgroup of the inertia subgroup $I_F$. |
| title | Langlands parameters for Moy-Prasad types |
| topic | Representation Theory 20G25, 22E50 |
| url | https://arxiv.org/abs/2509.07780 |