Fundamental local equivalences in quantum geometric Langlands
Representation Theory
2023-06-22 v2 Algebraic Geometry
Abstract
In quantum geometric Langlands, the Satake equivalence plays a less prominent role than in the classical theory. Gaitsgory--Lurie proposed a conjectural substitute, later termed the fundamental local equivalence. With a few exceptions, we prove this conjecture and its extension to the affine flag variety by using what amount to Soergel module techniques.
Keywords
Cite
@article{arxiv.1907.03204,
title = {Fundamental local equivalences in quantum geometric Langlands},
author = {Justin Campbell and Gurbir Dhillon and Sam Raskin},
journal= {arXiv preprint arXiv:1907.03204},
year = {2023}
}
Comments
31 pages, comments welcome