Abstract
AbstractIn a recent paper, Gross and Reeder study the arithmetic properties of discrete Langlands parameters for semi-simple$p$-adic groups, and they conjecture that a special class of these – the simple wild parameters – should correspond to$L$-packets consisting of simple supercuspidal representations. We provide a construction of this correspondence, and show that the simple wild$L$-packets satisfy many expected properties. In particular, they admit a description in terms of the Langlands dual group, and contain a unique generic element for a fixed Whittaker datum. Moreover, we prove their stability on an open subset of the regular semi-simple elements, and show that they satisfy a natural compatibility with respect to unramified base-change.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of the Institute of Mathematics of Jussieu
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
