2 problems

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Self-dual local converse conjecture for \operatorname{GL}_{2N}
Let $F$ be a non-archimedean local field of characteristic $0$ with residual characteristic $p$ , and let $N$ be an odd positive integer. Let $\pi$ and $\pi'$ be self-dual supercusp…
Conjectureopenlocal-converse-theorems representation-theory self-dual-representationsarXiv posted 2 days ago
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The finite-list conjecture for regular self-dual cuspidal representations of GL_n of conductor 2
Let $\pi$ be a regular algebraic self-dual cuspidal automorphic representation of $\operatorname{GL}_n$ over $\mathbb{Q}$ , of conductor $2$ and motivic weight at most $21$ . Finite-…
Conjectureopenautomorphic-representations low-conductor-enumeration self-dual-representationsarXiv posted 2 days ago

Self-dual local converse conjecture for \operatorname{GL}_{2N}