Derived structures in the Langlands Correspondence
Number Theory
2025-06-25 v2 Algebraic Geometry
Representation Theory
Abstract
We survey several recent examples of derived structures emerging in connection with the Langlands correspondence. Cases studies include derived Galois deformation rings, derived Hecke algebras, derived Hitchin stacks, and derived special cycles. We also highlight some open problems that we expect to be important for future progress.
Keywords
Cite
@article{arxiv.2409.03035,
title = {Derived structures in the Langlands Correspondence},
author = {Tony Feng and Michael Harris},
journal= {arXiv preprint arXiv:2409.03035},
year = {2025}
}
Comments
Many minor changes and corrections. To appear in the proceedings of the 2022 IHES summer school