Generalizations of the Springer correspondence and cuspidal Langlands parameters

@article{Aubert2015GeneralizationsOT,
  title={Generalizations of the Springer correspondence and cuspidal Langlands parameters},
  author={A. Aubert and A. Moussaoui and M. Solleveld},
  journal={manuscripta mathematica},
  year={2015},
  volume={157},
  pages={121-192}
}
  • A. Aubert, A. Moussaoui, M. Solleveld
  • Published 2015
  • Mathematics
  • manuscripta mathematica
  • Let $${\mathcal H}$$H be any reductive p-adic group. We introduce a notion of cuspidality for enhanced Langlands parameters for $${\mathcal H}$$H, which conjecturally puts supercuspidal $${\mathcal H}$$H-representations in bijection with such L-parameters. We also define a cuspidal support map and Bernstein components for enhanced L-parameters, in analogy with Bernstein’s theory of representations of p-adic groups. We check that for several well-known reductive groups these analogies are… CONTINUE READING
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