Scholarlink

<p>The relative Langlands program introduced by Ben-Zvi–Sakellaridis–Venkatesh [5] posits a duality structure exchanging automorphic periods and <i>L</i>-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 <i>loc. cit</i> to establish duality in the context of affine toric varieties, and study finer structures regarding regularization that are instructive for the general case.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Relative Langlands duality of toric periods

  • 期刊论文

  • 发表日期：

    2026年5月5日

查看全文
  • Eric Y. Chen

摘要

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.