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On the Gan–Gross–Prasad conjecture for U(p, q)

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Abstract

In this paper, we give a proof of the Gan–Gross–Prasad conjecture for the discrete series of U(p, q). There are three themes in this paper: branching laws of a small \(A_{\mathfrak {q}}(\lambda )\), branching laws of discrete series and inductive construction of discrete series. These themes are linked together by a reciprocity law and the notion of invariant tensor product.

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  1. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA

    Hongyu He

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  1. Hongyu He
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He, H. On the Gan–Gross–Prasad conjecture for U(p, q). Invent. math. 209, 837–884 (2017). https://doi.org/10.1007/s00222-017-0720-x

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  • DOI: https://doi.org/10.1007/s00222-017-0720-x

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