Geodesic
ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF $p$-ADIC REDUCTIVE GROUPS
Forum of Mathematics, Sigma, Tome 8 (2020)

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Suppose that $\mathbf{G}$ is a connected reductive group over a finite extension $F/\mathbb{Q}_{p}$ and that $C$ is a field of characteristic $p$. We prove that the group $\mathbf{G}(F)$ admits an irreducible admissible supercuspidal, or equivalently supersingular, representation over $C$. 
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     author = {FLORIAN HERZIG and KAROL KOZIO{\L} and MARIE-FRANCE VIGN\'ERAS},
     title = {ON {THE} {EXISTENCE} {OF} {ADMISSIBLE} {SUPERSINGULAR} {REPRESENTATIONS} {OF} $p${-ADIC} {REDUCTIVE} {GROUPS}},
     journal = {Forum of Mathematics, Sigma},
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     year = {2020},
     doi = {10.1017/fms.2019.50},
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FLORIAN HERZIG; KAROL KOZIOŁ; MARIE-FRANCE VIGNÉRAS. ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF $p$-ADIC REDUCTIVE GROUPS. Forum of Mathematics, Sigma, Tome 8 (2020). doi: 10.1017/fms.2019.50

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