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Periods of quaternionic Shimura varieties. I / Atsushi Ichino, Kartik Prasanna.
Author
Ichino, Atsushi, 1976-
[Browse]
Format
Book
Language
English
Published/Created
Providence : American Mathematical Society, [2021]
©2021
Description
vi, 214 pages : illustrations ; 26 cm.
Availability
Copies in the Library
Location
Call Number
Status
Location Service
Notes
Lewis Library - Stacks
QA242.5 .I24 2021
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Details
Subject(s)
Shimura varieties
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Quaternions
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Author
Prasanna, Kartik A., 1976-
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Series
Contemporary mathematics (American Mathematical Society) ; v. 762.
[More in this series]
Contemporary mathematics, 0271-4132 ; volume 762
Summary note
"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." - publisher
Bibliographic references
Includes bibliographical references.
Contents
Quaternionic shimura varieties
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
The main conjecture on the arithmetic of theta lifts.
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ISBN
9781470448943 (paperback)
1470448947 (paperback)
LCCN
2020044411
OCLC
1200832245
Statement on language in description
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