Supercuspidal L-packets via isocrystals
Representation Theory
2011-08-23 v2 Number Theory
Abstract
In a recent paper, DeBacker and Reeder construct and parameterize L-packets on pure inner forms of unramified p-adic groups, that consist of depth zero supercuspidal representations. We generalize their work to non-pure inner forms, by providing an alternative construction based on the theory of isocrystals with additional structure due to Kottwitz. Furthermore, we show the stability and endoscopic transfer for these L-packets.
Cite
@article{arxiv.1004.2230,
title = {Supercuspidal L-packets via isocrystals},
author = {Tasho Kaletha},
journal= {arXiv preprint arXiv:1004.2230},
year = {2011}
}
Comments
26 pages. Revisions in section 3: exposition focused on depth-zero L-packets, proofs streamlined, restrictions on the residual characteristic relaxed to p>2