Hitchin type moduli stacks in automorphic representation theory
Representation Theory
2018-09-07 v1 Algebraic Geometry
Number Theory
Abstract
In the study of automorphic representations over a function field, Hitchin moduli stack and its variants naturally appear and their geometry helps the comparison of trace formulae. We give a survey on applications of this observation to a relative fundamental lemma, the arithmetic fundamental lemma and to the higher Gross-Zagier formula.
Cite
@article{arxiv.1809.01811,
title = {Hitchin type moduli stacks in automorphic representation theory},
author = {Zhiwei Yun},
journal= {arXiv preprint arXiv:1809.01811},
year = {2018}
}
Comments
Survey article for the proceedings of ICM 2018