A categorical p-adic Langlands correspondence for GL_2(Q_p)
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866914427446493184 |
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| author | Dotto, Andrea Emerton, Matthew Gee, Toby |
| author_facet | Dotto, Andrea Emerton, Matthew Gee, Toby |
| contents | Let p at least 5 be prime. We construct a fully faithful functor from the derived category of all smooth p-adic representations of GL_2(Q_p) (with a fixed central character) to a derived category of Ind-coherent sheaves on a stack of (phi,Gamma)-modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26887 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A categorical p-adic Langlands correspondence for GL_2(Q_p) Dotto, Andrea Emerton, Matthew Gee, Toby Number Theory Representation Theory Let p at least 5 be prime. We construct a fully faithful functor from the derived category of all smooth p-adic representations of GL_2(Q_p) (with a fixed central character) to a derived category of Ind-coherent sheaves on a stack of (phi,Gamma)-modules. |
| title | A categorical p-adic Langlands correspondence for GL_2(Q_p) |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2603.26887 |