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Incoherent Definite Spaces and Shimura Varieties

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Relative Trace Formulas

Part of the book series: Simons Symposia ((SISY))

Abstract

In this paper, we define incoherent definite quadratic spaces over totally real number fields and incoherent definite Hermitian spaces over CM fields. We use the neighbors of these spaces to study the local points of orthogonal and unitary Shimura varieties.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Harvard University, Cambridge, MA, USA

    Benedict H. Gross

Authors
  1. Benedict H. Gross
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Correspondence to Benedict H. Gross .

Editor information

Editors and Affiliations

  1. Mathematical Institute, University of Bonn, Bonn, Nordrhein-Westfalen, Germany

    Werner Müller

  2. Department of Mathematics, University of California, Berkeley, CA, USA

    Sug Woo Shin

  3. Department of Mathematics, Malott Hall, Cornell University, Ithaca, NY, USA

    Nicolas Templier

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Gross, B.H. (2021). Incoherent Definite Spaces and Shimura Varieties. In: Müller, W., Shin, S.W., Templier, N. (eds) Relative Trace Formulas. Simons Symposia. Springer, Cham. https://doi.org/10.1007/978-3-030-68506-5_5

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