论文标题
Aggine Hecke类别的内窥镜检查
Endoscopy for affine Hecke category
论文作者
论文摘要
我们表明，还原组的仿射单粒子Hecke类别的中性块在很大程度上等于内窥镜组的仿射Hecke类别的中性块。两种类别的半神经复合物都可以通过Soergel函数与广义的Soergel双模型一起识别。我们通过Bezrukavnikov和Yun开发的技术机制将半圣复合物的识别扩展到了Aggine Hecke类别的中性块。
We show that the neutral block of the affine monodromic Hecke category for a reductive group is monoidally equivalent to the neutral block of the affine Hecke category for the endoscopic group. The semisimple complexes of both categories can be identified with the generalized Soergel bimodules via the Soergel functor. We extend this identification of semisimple complexes to the neutral blocks of the affine Hecke categories by the technical machinery developed by Bezrukavnikov and Yun.
