Reducibility points and characteristic $p$ local fields I- Simple supercuspidal representations of symplectic groups

Corinne Blondel, Guy Henniart, Shaun Stevens

Let $F$ be a non-Archimedean local field with odd characteristic $p$. Let $N$ be a positive integer and $G=S{p}_{2N}(F)$. By work of Lomelí on $\gamma$-factors of pairs and converse theor…