A universal rigid abelian tensor category
Algebraic Geometry
2022-07-01 v2 K-Theory and Homology
Representation Theory
Abstract
We prove that any rigid additive symmetric monoidal category can be mapped to a rigid abelian symmetric monoidal category in a universal way. This yields a novel approach to Grothendieck's standard conjecture D and Voevodsky's smash nilpotence conjecture.
Cite
@article{arxiv.2111.11217,
title = {A universal rigid abelian tensor category},
author = {L. Barbieri-Viale and B. Kahn},
journal= {arXiv preprint arXiv:2111.11217},
year = {2022}
}