Periods of Quaternionic Shimura Varieties. I.
Atsushi Ichino, Kartik Prasanna
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.
Կատեգորիաներ:
Հատոր:
762
Տարի:
2021
Հրատարակչություն:
American Mathematical Society
Լեզու:
english
Էջեր:
214
ISBN 10:
1470464187
ISBN 13:
9781470464189
Սերիաներ:
Contemporary mathematics, v. 762
Ֆայլ:
PDF, 2.15 MB
IPFS:
,
english, 2021