Motives and homotopy theory in logarithmic geometry

Binda, Federico; Park, Doosung; Østvær, Paul Arne

Comptes Rendus. Mathématique, Tome 360 (2022) no. G6, pp. 717-727.

Ce document est un petit guide d’utilisation de la théorie des motifs et de la théorie de l’homotopie dans le cadre de la géométrie logarithmique. Nous passons en revue certaines des idées de base et des résultats en relation avec d’autres travaux sur les motifs avec module, théorie de l’homotopie motivique, et les faisceaux de réciprocité.

This document is a short user’s guide to the theory of motives and homotopy theory in the setting of logarithmic geometry. We review some of the basic ideas and results in relation to other works on motives with modulus, motivic homotopy theory, and reciprocity sheaves.

Classification : 14XX, 19XX, 55XX
Mots clés : Logarithmic geometry, motives, motivic homotopy theory

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