On the physical rigidity of Frenkel-Gross connection

• Lingfei Yi ^[1]
  1. [1] University of Minnesota

     University of Minnesota

     City of Minneapolis, Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 30, Nº. 3, 2024, págs. 1-23
• Idioma: inglés
• DOI: 10.1007/s00029-024-00931-9
• Enlaces
  • Texto completo
• Resumen

  • We show that the Frenkel-Gross connection on Gm is physically rigid as Gˇ -connection, thus confirming the de Rham version of a conjecture of Heinloth-Ngô-Yun. The proof is based on the construction of the Hecke eigensheaf of a Gˇ -connection with only generic oper structure, using the localization of Weyl modules.

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