arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0909.1533math.RT
收藏

深度为零的超尖点L-包的内观character恒等式

Endoscopic character identities for depth-zero supercuspidal L-packets

Tasho Kaletha

摘要:

本文证明了DeBacker和Reeder建立的无分歧p-adic群的纯内形式和深度为零的参数的局部Langlands对应的L-包的几何内镜转移。更确切地说,我们表明,在温和的条件下的残留特征,内窥镜诱导识别这样的L-包的稳定字符的相应的内窥镜L-包的不稳定字符。

英文摘要:

We prove the conjectural endoscopic transfer of L-packets for the local Langlands correspondence for pure inner forms of unramified p-adic groups and depth-zero parameters established by DeBacker and Reeder. More precisely, we show that under mild conditions on the residual characteristic, endoscopic induction identifies an unstable character of such an L-packet with the stable character of the corresponding endoscopic L-packet.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑