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OverviewThis 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. Full Product DetailsAuthor: Atsushi Ichino , Kartik PrasannaPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.395kg ISBN: 9781470448943ISBN 10: 1470448947 Pages: 220 Publication Date: 30 March 2021 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationAtsushi Ichino, Kyoto University, Japan, and Kartik Prasanna, University of Michigan, Ann Arbor, MI. Tab Content 6Author Website:Countries AvailableAll regions |
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