This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura's algebraicity conjectures on these periods. It also provides a strategy to attack this conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have applications to other problems related to periods, such as the Bloch-Beilinson conjecture about special values of $L$-functions and constructing geometric realizations of Langlands functoriality for automorphic forms on quaternion algebras.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Atsushi Ichino, Kyoto University, Japan, and Kartik Prasanna, University of Michigan, Ann Arbor, MI.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Original decorated wrappers. Etat : Fine+. First Edition. In original shrinkwrap. ; Octavo; 220 pages. N° de réf. du vendeur LCB85959
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Paperback. Etat : new. Paperback. This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura's algebraicity conjectures on these periods. It also provides a strategy to attack this conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have applications to other problems related to periods, such as the Bloch-Beilinson conjecture about special values of $L$-functions and constructing geometric realizations of Langlands functoriality for automorphic forms on quaternion algebras. Formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, an integral refinement of Shimura's algebraicity conjectures on these periods. The book also provides a strategy to attack the conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9781470448943
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Paperback. Etat : new. Paperback. This book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura's algebraicity conjectures on these periods. It also provides a strategy to attack this conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have applications to other problems related to periods, such as the Bloch-Beilinson conjecture about special values of $L$-functions and constructing geometric realizations of Langlands functoriality for automorphic forms on quaternion algebras. Formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, an integral refinement of Shimura's algebraicity conjectures on these periods. The book also provides a strategy to attack the conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9781470448943
Quantité disponible : 1 disponible(s)