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Periods of Quaternionic Shimura Varieties. I.

Atsushi Ichino
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      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.
      Format: Paperback / softback CONTRIBUTORS: Atsushi Ichino EAN: 9781470448943 COUNTRY: United States PAGES: WEIGHT: 395 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2021-02-01 CITY: GENRE: MATHEMATICS / Geometry / Algebraic WIDTH: 178 cm SPINE:

      Book Themes:

      Algebraic geometry

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      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.
      Format: Paperback / softback CONTRIBUTORS: Atsushi Ichino EAN: 9781470448943 COUNTRY: United States PAGES: WEIGHT: 395 g HEIGHT: 254 cm
      PUBLISHED BY: American Mathematical Society DATE PUBLISHED: 2021-02-01 CITY: GENRE: MATHEMATICS / Geometry / Algebraic WIDTH: 178 cm SPINE:

      Book Themes:

      Algebraic geometry

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