Motives and homotopy theory in logarithmic geometry

Federico Binda; Doosung Park; Paul Arne Østvær

doi:10.5802/crmath.340

Géométrie algébrique

Motives and homotopy theory in logarithmic geometry

Federico Binda ¹ ; Doosung Park ² ; Paul Arne Østvær ^1,³

¹ Department of Mathematics F. Enriques, University of Milan, Via Cesare Saldini 50, 20133 Milan, Italy
² Department of Mathematics and informatics, University of Wuppertal, Gaussstr. 20, 42119 Wuppertal, Germany
³ Department of Mathematics, University of Oslo, Niels Henrik Abels hus, Moltke Moes vei 35, 0851 Oslo, Norway

Comptes Rendus. Mathématique, Volume 360 (2022), pp. 717-727.

Résumé
Abstract

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.

Reçu le : 2021-06-17
Révisé le : 2021-12-05
Accepté le : 2022-01-26
Publié le : 2022-06-22

Zbl

DOI : 10.5802/crmath.340

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

Affiliations des auteurs :

Federico Binda ¹ ; Doosung Park ² ; Paul Arne Østvær ^{1, 3}

¹ Department of Mathematics F. Enriques, University of Milan, Via Cesare Saldini 50, 20133 Milan, Italy
² Department of Mathematics and informatics, University of Wuppertal, Gaussstr. 20, 42119 Wuppertal, Germany
³ Department of Mathematics, University of Oslo, Niels Henrik Abels hus, Moltke Moes vei 35, 0851 Oslo, Norway

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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Federico Binda; Doosung Park; Paul Arne Østvær. Motives and homotopy theory in logarithmic geometry. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 717-727. doi : 10.5802/crmath.340. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.340/

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