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

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Lewis Library - Stacks QA242.5 .I24 2021 Browse related items Request

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    Subject(s)
    Author
    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.
    ISBN
    • 9781470448943 (paperback)
    • 1470448947 (paperback)
    LCCN
    2020044411
    OCLC
    1200832245
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