Exterior square gamma factors for cuspidal representations of ${\mathrm{GL}}_n$: simple supercuspidal representations

Abstract

We compute the local twisted exterior square gamma factors for simple supercuspidal representations, using which we prove a local converse theorem for simple supercuspidal representations.

27 pages. Comments are welcome. v2: This version contains all changes that were made for the Ramanujan Journal submission

References in corpus (4)

• Langlands parameters for epipelagic representations of ${\text{GL}}_n$
• Towards the Jacquet Conjecture on the Local Converse Problem for $p$-adic ${\mathrm{GL}}_n$
• The functional equation of the Jacquet-Shalika integral representation of the local exterior-square $L$-function
• Converse Theorem Meets Gauss Sums (with an appendix by Zhiwei Yun)