Fixed-point statistics from spectral measures on tensor envelope categories

• Arthur Forey ^[2] ; Javier Fresán ^[3] ; Emmanuel Kowalski ^[1]
  1. [1] Swiss Federal Institute of Technology in Zurich

     Swiss Federal Institute of Technology in Zurich

     Zürich, Suiza

     
  2. [2] Univ. Lille, CNRS, France
  3. [3] Sorbonne Université and Université Paris, France

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 31, Nº. 5, 2025
• Idioma: inglés
• DOI: 10.1007/s00029-025-01091-0
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• Resumen

  • We prove old and new convergence statements for fixed-points statistics and characters of symmetric groups using tensor envelope categories, such as the Deligne–Knop category of representations of the “symmetric group” St for an indeterminate t.We also speculate on a generalization of Chebotarev’s density theorem to pseudopolynomials

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