Periods of Quaternionic Shimura Varieties. I. (Contemporary Mathematics 762)

Ichino, Atsushi & Kartik Prasanna

ISBN 10: 1470448947 ISBN 13: 9781470448943

Published by American Mathematical Society, Providence, Rhode Island, 2021

Language: English

Condition: Used - Fine Soft cover

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Bibliographic Details

Title

Periods of Quaternionic Shimura Varieties. I. (Contemporary Mathematics 762)

Publisher

American Mathematical Society, Providence, Rhode Island

Publication Date

2021

Language

English

ISBN 10

1470448947

ISBN 13

9781470448943

Binding

Original decorated wrappers

Edition

First Edition.

Condition

Fine+

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Synopsis

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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