Motives and homotopy theory in logarithmic geometry
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.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2022-06-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.340/ |
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| author | Binda, Federico Park, Doosung Østvær, Paul Arne |
| author_facet | Binda, Federico Park, Doosung Østvær, Paul Arne |
| author_sort | Binda, Federico |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T16:16:19Z |
| format | Article |
| id | doaj.art-71ce68bca8f04558bcff24c9df702e61 |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:16:19Z |
| publishDate | 2022-06-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-71ce68bca8f04558bcff24c9df702e612023-10-24T14:19:28ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692022-06-01360G671772710.5802/crmath.34010.5802/crmath.340Motives and homotopy theory in logarithmic geometryBinda, Federico0https://orcid.org/0000-0002-3476-440XPark, Doosung1Østvær, Paul Arne2Department of Mathematics F. Enriques, University of Milan, Via Cesare Saldini 50, 20133 Milan, ItalyDepartment of Mathematics and informatics, University of Wuppertal, Gaussstr. 20, 42119 Wuppertal, GermanyDepartment of Mathematics F. Enriques, University of Milan, Via Cesare Saldini 50, 20133 Milan, Italy; Department of Mathematics, University of Oslo, Niels Henrik Abels hus, Moltke Moes vei 35, 0851 Oslo, NorwayThis 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.340/Logarithmic geometrymotivesmotivic homotopy theory |
| spellingShingle | Binda, Federico Park, Doosung Østvær, Paul Arne Motives and homotopy theory in logarithmic geometry Comptes Rendus. Mathématique Logarithmic geometry motives motivic homotopy theory |
| title | Motives and homotopy theory in logarithmic geometry |
| title_full | Motives and homotopy theory in logarithmic geometry |
| title_fullStr | Motives and homotopy theory in logarithmic geometry |
| title_full_unstemmed | Motives and homotopy theory in logarithmic geometry |
| title_short | Motives and homotopy theory in logarithmic geometry |
| title_sort | motives and homotopy theory in logarithmic geometry |
| topic | Logarithmic geometry motives motivic homotopy theory |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.340/ |
| work_keys_str_mv | AT bindafederico motivesandhomotopytheoryinlogarithmicgeometry AT parkdoosung motivesandhomotopytheoryinlogarithmicgeometry AT østværpaularne motivesandhomotopytheoryinlogarithmicgeometry |