| Softcover ISBN: | 978-2-85629-877-0 |
| Product Code: | SMFMEM/155 |
| List Price: | $67.00 |
| AMS Member Price: | $53.60 |
| Softcover ISBN: | 978-2-85629-877-0 |
| Product Code: | SMFMEM/155 |
| List Price: | $67.00 |
| AMS Member Price: | $53.60 |
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Book DetailsMémoires de la Société Mathématique de FranceVolume: 155; 2017; 245 ppMSC: Primary 11; 22
The author studies \(p\)-adic modular forms over unitary Shimura curves and proves the existence of overconvergent companion forms over unitary Shimura curves using \(p\)-adic comparison theorems. Together with some locally analytic representation theory of \(\mathrm{GL_2}(L)\), the author deduces some local-global compatibility results on the socle for the completed \(H^{1}\) of unitary Shimura curves. In addition, using an adjunction formula for the Jacquet-Emerton functor in family and global triangulation theory, the author also proves some local-global compatibility results for non semi-simple locally analytic representations.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians.
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The author studies \(p\)-adic modular forms over unitary Shimura curves and proves the existence of overconvergent companion forms over unitary Shimura curves using \(p\)-adic comparison theorems. Together with some locally analytic representation theory of \(\mathrm{GL_2}(L)\), the author deduces some local-global compatibility results on the socle for the completed \(H^{1}\) of unitary Shimura curves. In addition, using an adjunction formula for the Jacquet-Emerton functor in family and global triangulation theory, the author also proves some local-global compatibility results for non semi-simple locally analytic representations.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians.
