A categorical p-adic Langlands correspondence for GL_2(Q_p)
Number Theory
2026-03-31 v1 Representation Theory
Abstract
Let p at least 5 be prime. We construct a fully faithful functor from the derived category of all smooth p-adic representations of GL_2(Q_p) (with a fixed central character) to a derived category of Ind-coherent sheaves on a stack of (phi,Gamma)-modules.
Keywords
Cite
@article{arxiv.2603.26887,
title = {A categorical p-adic Langlands correspondence for GL_2(Q_p)},
author = {Andrea Dotto and Matthew Emerton and Toby Gee},
journal= {arXiv preprint arXiv:2603.26887},
year = {2026}
}
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279 pages