论文标题
半圣事的兼容性本地兰兰兹参数与帕纳克·萨克克参数
Compatibility of semisimple local Langlands parameters with parahoric Satake parameters
论文作者
论文摘要
在本文中，我们证明，帕纳克·史密斯（Parahoric-Spherical）表示与满足某些自然特性的半圣经本地Langlands参数之间最多有一个对应关系。我们证明这种独特声明是非常正式的。特别是，由Fargues和Scholze构建的半圣当地Langlands参数产生了此类表示的独特候选者。作为推论，我们证明了一个猜想，它提出了半圣经本地兰兰兹参数与帕纳克·萨克克参数的兼容性。
In this paper, we prove that there is at most one correspondence between parahoric-spherical representations and semisimple local Langlands parameters which satisfies certain natural properties. Our proof of this uniqueness statement is very formal. In particular, the semisimple local Langlands parameters constructed by Fargues and Scholze yield the unique candidate for such representations. As a corollary, we prove a conjecture which posits the compatibility of semisimple local Langlands parameters with parahoric Satake parameters.
