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9781470448943: Periods of Quaternionic Shimura Varieties. I.

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Here and in two sequels, Ichino and Prasanna study periods of automorphic forms on quaternionic Shimura variables, focusing specifically on the periods that are the Petersson inner products of Hilbert modular forms and of their Jacquet-Langlands lifts to quaternionic Shimura varieties. They cover unitary and quaternionic unitary groups, Weil representations, the Rallis inner product formula and the Jacquet-Langlands correspondence, Schwartz functions, explicit form of the Rallis inner product formula, and the main conjecture of the arithmetic of theta lifts. Annotation ©2021 Ringgold, Inc., Portland, OR (protoview.com)

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Ichino, Atsushi & Kartik Prasanna
ISBN 10: 1470448947 ISBN 13: 9781470448943
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Original decorated wrappers. Condizione: Fine+. First Edition. In original shrinkwrap. ; Octavo; 220 pages. Codice articolo LCB85959

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Atsushi Ichino
ISBN 10: 1470448947 ISBN 13: 9781470448943
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Paperback. Condizione: 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. Codice articolo 9781470448943

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Atsushi Ichino
ISBN 10: 1470448947 ISBN 13: 9781470448943
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Paperback. Condizione: 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. Codice articolo 9781470448943

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