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Inhaltsangabe
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.
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Über die Autorin bzw. den Autor
Atsushi Ichino, Kyoto University, Japan, and Kartik Prasanna, University of Michigan, Ann Arbor, MI.
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Periods of Quaternionic Shimura Varieties. I. (Contemporary Mathematics 762)
Verlag:
American Mathematical Society, Providence, Rhode Island, 2021
ISBN 10: 1470448947
ISBN 13: 9781470448943
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Original decorated wrappers. Zustand: Fine+. First Edition. In original shrinkwrap. ; Octavo; 220 pages. Bestandsnummer des Verkäufers LCB85959
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Periods of Quaternionic Shimura Varieties. I. (Paperback)
Verlag:
American Mathematical Society, Providence, 2021
ISBN 10: 1470448947
ISBN 13: 9781470448943
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781470448943
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Periods of Quaternionic Shimura Varieties. I. (Paperback)
Verlag:
American Mathematical Society, Providence, 2021
ISBN 10: 1470448947
ISBN 13: 9781470448943
Neu
Paperback
Anbieter: AussieBookSeller, Truganina, VIC, Australien
Verkäuferbewertung 5 von 5 Sternen
Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781470448943
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