Derived categories of character sheaves
Representation Theory
2018-10-17 v3
Abstract
We give a block decomposition of the dg category of character sheaves on a simple and simply-connected complex reductive group , similar to the one in generalized Springer correspondence. As a corollary, we identify the category of character sheaves on as the category of quasi-coherent sheaves on an explicitly defined derived stack .
Keywords
Cite
@article{arxiv.1803.04289,
title = {Derived categories of character sheaves},
author = {Penghui Li},
journal= {arXiv preprint arXiv:1803.04289},
year = {2018}
}
Comments
This ver: Add some prelimary on dg categories; calculate endomorphism complexes of irreducible character sheaves; fix some errors. ver.2: Fix some errors. Add examples for rank up to three. 9 pages, 7 figures