Periods of Quaternionic Shimura Varieties. I. - Atsushi Ichino - Bog

Formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, an integral refinement of Shimura's algebraicity conjectures on these periods. The book also provides a strategy to attack the conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups.