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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A geometric Jacquet-Langlands transfer for automorphic forms of higher weights
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by Jize Yu PDF
Trans. Amer. Math. Soc. 375 (2022), 6843-6873 Request permission

Abstract:

In this paper, we give a geometric construction of the Jacquet-Langlands transfer for automorphic forms of higher weights. Our method is by studying the geometry of the mod $p$ fibres of Hodge type Shimura varieties which satisfy a mild assumption and the cohomological correspondences between them.
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Additional Information
  • Jize Yu
  • Affiliation: School of Mathematics, Institute for Advanced Study, 1 Einstein Drive, Princeton, New Jersey 08540
  • Address at time of publication: Room 228, Lady Shaw Building, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong.
  • Email: jzyu@math.cuhk.edu.hk
  • Received by editor(s): October 22, 2020
  • Received by editor(s) in revised form: June 4, 2021, and October 18, 2021
  • Published electronically: August 10, 2022
  • Additional Notes: The author was supported by the Zurich Insurance Company during his stay. Part of the supported by grants 4053399 and 4053453.
  • © Copyright 2022 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 375 (2022), 6843-6873
  • MSC (2020): Primary 14G35, 11G18; Secondary 14D24, 20C20
  • DOI: https://doi.org/10.1090/tran/8611