Number Theory Seminar

Tuesday 1 May 2007, TBA

On mod p representations of reductive p-adic groups
Guy Henniart (Orsay)


     Consideration of congruences for classical modular forms naturally leads to investigating smooth irreducible representations of GL(2,Q_p) on vector spaces over a field C of positive characteristic l. The case where l=p has been considered only recently. We study more generally such smooth irreducible representations for a reductive group G over a local non-Archimedean field F of residual characteristic p. We examine the basic issues: admissibility, existence of central character, use of the Hecke algebra, analysis of parabolically induced representations.

Last modified on 20/1/07.

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