The FPP Conjecture for p-adic Groups
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909800124645376 |
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| author | Jiang, Dihua Liu, Baiying Lo, Chi-Heng Mason-Brown, Lucas |
| author_facet | Jiang, Dihua Liu, Baiying Lo, Chi-Heng Mason-Brown, Lucas |
| contents | The FPP conjecture, proposed by J. Adams, S. Miller, and D. Vogan and proved by D. Davis and L. Mason-Brown in arXiv:2411.01372, imposes a strong upper bound on the infinitesimal character of a unitary representation of a real reductive group. In this paper, we formulate an analogous conjecture for $p$-adic groups. We prove our conjecture for pure rational forms assuming a version of the Local Langlands Correspondence. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_18320 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The FPP Conjecture for p-adic Groups Jiang, Dihua Liu, Baiying Lo, Chi-Heng Mason-Brown, Lucas Representation Theory 22E50 The FPP conjecture, proposed by J. Adams, S. Miller, and D. Vogan and proved by D. Davis and L. Mason-Brown in arXiv:2411.01372, imposes a strong upper bound on the infinitesimal character of a unitary representation of a real reductive group. In this paper, we formulate an analogous conjecture for $p$-adic groups. We prove our conjecture for pure rational forms assuming a version of the Local Langlands Correspondence. |
| title | The FPP Conjecture for p-adic Groups |
| topic | Representation Theory 22E50 |
| url | https://arxiv.org/abs/2509.18320 |