Irreducible components of extended eigenvarieties and interpolating Langlands functoriality
We study the basic geometry of a class of analytic adic spaces that arise in the study of the extended (or adic) eigenvarieties constructed by Andreatta–Iovita–Pilloni, Gulotta and the authors. We apply this to prove a general interpolation theorem for Langlands functoriality, which works for extend...
| Päätekijät: | , |
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| Aineistotyyppi: | Journal article |
| Kieli: | English |
| Julkaistu: |
International Press
2019
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| _version_ | 1826282080475021312 |
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| author | Johansson, C Newton, J |
| author_facet | Johansson, C Newton, J |
| author_sort | Johansson, C |
| collection | OXFORD |
| description | We study the basic geometry of a class of analytic adic spaces that arise in the study of the extended (or adic) eigenvarieties constructed by Andreatta–Iovita–Pilloni, Gulotta and the authors. We apply this to prove a general interpolation theorem for Langlands functoriality, which works for extended eigenvarieties and improves upon existing results in characteristic 0. As an application, we show that the characteristic p locus of the extended eigenvariety for GL2/F, where F/Q is a cyclic extension, contains non-ordinary components of dimension at least [F : Q] .
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| first_indexed | 2024-03-07T00:38:27Z |
| format | Journal article |
| id | oxford-uuid:8237f94e-1c82-4a79-9f53-c4826235f7e0 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:38:27Z |
| publishDate | 2019 |
| publisher | International Press |
| record_format | dspace |
| spelling | oxford-uuid:8237f94e-1c82-4a79-9f53-c4826235f7e02022-03-26T21:35:51ZIrreducible components of extended eigenvarieties and interpolating Langlands functorialityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8237f94e-1c82-4a79-9f53-c4826235f7e0EnglishSymplectic ElementsInternational Press2019Johansson, CNewton, JWe study the basic geometry of a class of analytic adic spaces that arise in the study of the extended (or adic) eigenvarieties constructed by Andreatta–Iovita–Pilloni, Gulotta and the authors. We apply this to prove a general interpolation theorem for Langlands functoriality, which works for extended eigenvarieties and improves upon existing results in characteristic 0. As an application, we show that the characteristic p locus of the extended eigenvariety for GL2/F, where F/Q is a cyclic extension, contains non-ordinary components of dimension at least [F : Q] . |
| spellingShingle | Johansson, C Newton, J Irreducible components of extended eigenvarieties and interpolating Langlands functoriality |
| title | Irreducible components of extended eigenvarieties and interpolating Langlands functoriality |
| title_full | Irreducible components of extended eigenvarieties and interpolating Langlands functoriality |
| title_fullStr | Irreducible components of extended eigenvarieties and interpolating Langlands functoriality |
| title_full_unstemmed | Irreducible components of extended eigenvarieties and interpolating Langlands functoriality |
| title_short | Irreducible components of extended eigenvarieties and interpolating Langlands functoriality |
| title_sort | irreducible components of extended eigenvarieties and interpolating langlands functoriality |
| work_keys_str_mv | AT johanssonc irreduciblecomponentsofextendedeigenvarietiesandinterpolatinglanglandsfunctoriality AT newtonj irreduciblecomponentsofextendedeigenvarietiesandinterpolatinglanglandsfunctoriality |