Endoscopy for affine Hecke categories
Name
li-liyw-PhD-Math-2021-thesis.pdf
Description
Thesis PDF
Size
606.51 KB
Format
Adobe PDF
Checksum (MD5)
2954aa9d39b79769537ececb47caeb7f
Author(s)
Li, Yau Wing
Advisor(s)
Yun, Zhiwei
Date Issued
June 2021
Publisher
Massachusetts Institute of Technology
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
In Copyright - Educational Use Permitted
Copyright MIT
Persistent DSpace Link
