标题： 一个Iwahori理论的模$p$局部朗兰兹对应 显示英文标题

标题： An Iwahori theoretic mod $p$ Local Langlands Correspondence

摘要： 我们扩展了Anandavardhanan-Borisagar关于模$p$特征的诱导商与Iwahori-Hecke算子的像之间的比较定理，以及权重的紧致诱导到平凡特征的情况。这涉及研究相应的非交换Iwahori-Hecke代数。我们利用这一点来给出Breuil发现的（半单）模$p$局部兰兰德斯对应关系的Iwahori理论重述，并由Colmez以函子方式重新表述。这种形式的对应关系预计在计算半稳定伽罗瓦表示的模$p$约简方面有应用。 显示英文摘要

摘要： We extend a comparison theorem of Anandavardhanan-Borisagar between the quotient of the induction of a mod $p$ character by the image of an Iwahori-Hecke operator and compact induction of a weight to the case of the trivial character. This involves studying the corresponding non-commutative Iwahori-Hecke algebra. We use this to give an Iwahori theoretic reformulation of the (semi-simple) mod $p$ Local Langlands Correspondence discovered by Breuil and reformulated functorially by Colmez. This version of the correspondence is expected to have applications to computing the mod $p$ reductions of semi-stable Galois representations.