Local Langlands duality and a duality of conformal field theories

Martin T. Luu

Research output: Contribution to journalArticlepeer-review


We show that the numerical local Langlands duality for GLn and the T-duality of two-dimensional quantum gravity arise from one and the same symmetry principle. The unifying theme is that the local Fourier transform in both its ℓ-adic and complex incarnation gives rise to symmetries of arithmetic and geometric local Langlands parameters.

Original languageEnglish (US)
Pages (from-to)1-22
Number of pages22
JournalCommunications in Number Theory and Physics
Issue number1
StatePublished - 2016

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Mathematical Physics
  • Physics and Astronomy(all)


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