Relative Langlands duality of toric periods

• Eric Y. Chen ^[1]
  1. [1] École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 32, Nº. 3, 2026
• Idioma: inglés
• DOI: 10.1007/s00029-026-01153-x
• Enlaces
  • Texto completo
• Resumen

  • The relative Langlands program introduced by Ben-Zvi–Sakellaridis–Venkatesh [5] posits a duality structure exchanging automorphic periods and L-functions, which can be encoded by pairs of dual Hamiltonian actions. In [7] an extension of the definitions to certain singular spaces was made with the objective of restoring duality in some well-known automorphic integrals. In this companion article we apply the definitions of loc. cit to establish duality in the context of affine toric varieties, and study finer structures regarding regularization that are instructive for the general case.

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