G\'eom\'etrie non-commutative, formule des traces et conducteur de Bloch
Algebraic Geometry
2017-01-03 v1 K-Theory and Homology
Abstract
This text is based on a talk by the first named author at the first congress of the SMF (Tours, 2016). We present Bloch's conductor formula, which is a conjectural formula describing the change of topology in a family of algebraic varieties when the parameter specialises to a critical value. The main objective of this paper is to describe a general approach to the resolution of Bloch's conjecture based on techniques from both non-commutative geometry and derived geometry.
Keywords
Cite
@article{arxiv.1701.00455,
title = {G\'eom\'etrie non-commutative, formule des traces et conducteur de Bloch},
author = {Bertrand Toën and Gabriele Vezzosi},
journal= {arXiv preprint arXiv:1701.00455},
year = {2017}
}
Comments
French, 23 pages, Expos\'e au premier congr\`es de la SMF (Tours, 2016)