Motivic toposes
Algebraic Geometry
2015-07-23 v1 Category Theory
K-Theory and Homology
Logic
Abstract
We present a research programme aimed at constructing classifying toposes of Weil-type cohomology theories and associated categories of motives, and introduce a number of notions and preliminary results already obtained in this direction. In order to analyze the properties of Weil-type cohomology theories and their relations, we propose a framework based on atomic two-valued toposes and homogeneous models. Lastly, we construct a syntactic triangulated category whose dual maps to the derived categories of all the usual cohomology theories.
Keywords
Cite
@article{arxiv.1507.06271,
title = {Motivic toposes},
author = {Olivia Caramello},
journal= {arXiv preprint arXiv:1507.06271},
year = {2015}
}
Comments
41 pages