Simple wild L-packets

Details Simple wild L-packets Simple wild L-packets

2011-08-11

arxiv.org/abs/1108.2437v1

Mathematics

Representation Theory

32 pages

Scientific paper

In a recent paper, Gross and Reeder study arithmetic properties of discrete Langlands parameters for semi-simple p-adic groups and 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.

Affiliated with

Also associated with

No associations

Rating

Simple wild L-packets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Simple wild L-packets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simple wild L-packets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-276389