The topological Breuil-M\'ezard conjecture for classical groups
Number Theory
2025-08-28 v1
Abstract
For unitary, orthogonal and symplectic groups, we compute the dimension of the reduced Emerton-Gee stacks, and give an explicit description of their top-dimensional Chow group. Our results are unconditional when . The main innovation is a new method for analyzing the vanishing locus of Galois cup products valued in high dimensions.
Cite
@article{arxiv.2508.19722,
title = {The topological Breuil-M\'ezard conjecture for classical groups},
author = {Zhongyipan Lin},
journal= {arXiv preprint arXiv:2508.19722},
year = {2025}
}