Morningside Center of Mathematics
Chinese Academy of Sciences
Morningside Center of Mathematics
Chinese Academy of Sciences
Title: | Cuspidal admissible representations of reductive $p$-adic groups |
Speaker: | Marie-France Vignéras (Université Sorbonne) |
Time: | 2020-1-15, 10:00-11:00 |
Place: | MCM110 |
Abstract: | We prove that over any field $C$, any reductive p-adic group $G$ admits cuspidal admissible irreducible $C$-representations (work with Herzig and Koziol when the characteristic of $C$ is $p$). Let $c=0$ or a prime number different from $p$. If cuspidal admissible irreducible representations of $G$ over algebraically closed fields $C$ of characteristic $c$, are compactly induced from open compact mod center subgroups (Morris, Moy-Prasad, Bushnell-Kutzko, J.K.Yu, Minguez-Secherre, Kurinzcuk-Skodlerak-Stephens, Fintzen, Weissman, Deseine, Peiyi Cui), we prove that this holds true for any field $C$ of characteristic $c$ (work with Henniart). |
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