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Tame relatively supercuspidal representations

By Fiona Murnaghan

Let G be a connected reductive p-adic group that splits over a tamely ramified extension. Let H be the fixed points of an involution of G. An irreducible smooth H-distinguished representation of G is H-relatively supercuspidal if its relative matrix coefficients are compactly supported modulo H Z(G). (Here, Z(G) is the centre of G.) We will describe some relatively supercuspidal representations whose cuspidal supports belong to the supercuspidals constructed by J.K. Yu.

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Citation data

  • DOI 10.24350/CIRM.V.18981603
  • Cite this video Murnaghan Fiona (5/24/16). Tame relatively supercuspidal representations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18981603
  • URL https://dx.doi.org/10.24350/CIRM.V.18981603

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