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A geometric interpretation of Newton strata

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Abstract

The Newton strata of a reductive p-adic group are introduced in He (Forum Math Pi 6:e2, 2018) and play some role in the representation theory of p-adic groups. In this paper, we give a geometric interpretation of the Newton strata.

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Acknowledgements

We thank T. Haines, G. Lusztig and M. Rapoport for helpful discussions. We also thank the referee for the useful comments.

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Author notes

  1. Xuhua He

    Present address: The Institute of Mathematical Sciences and Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

Authors and Affiliations

  1. Department of Mathematics, University of Maryland, College Park, MD, 20742, USA

    Xuhua He

  2. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Sian Nie

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  1. Xuhua He
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  2. Sian Nie
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Correspondence to Xuhua He.

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Xuhua He was partially supported by NSF DMS-1801352. Sian Nie is supported in part by QYZDB-SSW-SYS007 and NSFC Grant (Nos. 11501547, 11621061 and 11688101).

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He, X., Nie, S. A geometric interpretation of Newton strata. Sel. Math. New Ser. 26, 4 (2020). https://doi.org/10.1007/s00029-019-0529-0

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  • DOI: https://doi.org/10.1007/s00029-019-0529-0

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