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Periods Of Quaternionic Shimura Varieties I Atsushi Ichino

Name: Periods Of Quaternionic Shimura Varieties I Atsushi Ichino
SKU: BELL-53513556
Price: 31.00 USD
Availability: InStock
Rating: 5 (88 reviews)

SKU: BELL-53513556

$ 31.00 ~~$ 45.00~~ (-31%)

5.0

88 reviews

Periods Of Quaternionic Shimura Varieties I Atsushi Ichino instant download after payment.

Publisher: American Mathematical Society

File Extension: PDF

File size: 2.15 MB

Pages: 214

Author: Atsushi Ichino, Kartik Prasanna

ISBN: 9781470448943, 9781470464189, 1470448947, 1470464187

Language: English

Year: 2021

Volume: 762

Product desciption

Periods Of Quaternionic Shimura Varieties I Atsushi Ichino by Atsushi Ichino, Kartik Prasanna 9781470448943, 9781470464189, 1470448947, 1470464187 instant download after payment.

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.