On the sign of regular algebraic polarizable automorphic representations
We remove a parity condition from the construction of automorphic Galois representations carried out in the Paris Book Project. We subsequently generalize this construction to the case of ‘mixed-parity’ (but still regular essentially self-dual) automorphic representations over totally real fields, f...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2016
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| Online Access: | http://hdl.handle.net/1721.1/104935 |
| _version_ | 1811090164892565504 |
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| author | Patrikis, Stefan T |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Patrikis, Stefan T |
| author_sort | Patrikis, Stefan T |
| collection | MIT |
| description | We remove a parity condition from the construction of automorphic Galois representations carried out in the Paris Book Project. We subsequently generalize this construction to the case of ‘mixed-parity’ (but still regular essentially self-dual) automorphic representations over totally real fields, finding associated geometric projective representations. Finally, we optimize some of our previous results on finding geometric lifts, through central torus quotients, of geometric Galois representations, and apply them to the previous mixed-parity setting. |
| first_indexed | 2024-09-23T14:36:05Z |
| format | Article |
| id | mit-1721.1/104935 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:36:05Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1049352022-10-01T21:47:55Z On the sign of regular algebraic polarizable automorphic representations Patrikis, Stefan T Massachusetts Institute of Technology. Department of Mathematics Patrikis, Stefan T We remove a parity condition from the construction of automorphic Galois representations carried out in the Paris Book Project. We subsequently generalize this construction to the case of ‘mixed-parity’ (but still regular essentially self-dual) automorphic representations over totally real fields, finding associated geometric projective representations. Finally, we optimize some of our previous results on finding geometric lifts, through central torus quotients, of geometric Galois representations, and apply them to the previous mixed-parity setting. National Science Foundation (U.S.) (Grant DMS-1062759) 2016-10-24T14:59:00Z 2016-10-24T14:59:00Z 2014-10 2014-08 2016-08-18T15:23:50Z Article http://purl.org/eprint/type/JournalArticle 0025-5831 1432-1807 http://hdl.handle.net/1721.1/104935 Patrikis, Stefan. “On the Sign of Regular Algebraic Polarizable Automorphic Representations.” Mathematische Annalen 362.1–2 (2015): 147–171. en http://dx.doi.org/10.1007/s00208-014-1111-x Mathematische Annalen Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer-Verlag Berlin Heidelberg application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Patrikis, Stefan T On the sign of regular algebraic polarizable automorphic representations |
| title | On the sign of regular algebraic polarizable automorphic representations |
| title_full | On the sign of regular algebraic polarizable automorphic representations |
| title_fullStr | On the sign of regular algebraic polarizable automorphic representations |
| title_full_unstemmed | On the sign of regular algebraic polarizable automorphic representations |
| title_short | On the sign of regular algebraic polarizable automorphic representations |
| title_sort | on the sign of regular algebraic polarizable automorphic representations |
| url | http://hdl.handle.net/1721.1/104935 |
| work_keys_str_mv | AT patrikisstefant onthesignofregularalgebraicpolarizableautomorphicrepresentations |