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arXiv · 1701.00455

G\'eom\'etrie non-commutative, formule des traces et conducteur de Bloch

Bertrand Toën·Gabriele Vezzosi
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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.

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Bertrand Toën, Gabriele Vezzosi. 2017-01-02. G\'eom\'etrie non-commutative, formule des traces et conducteur de Bloch. https://arxiv.org/abs/1701.00455

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