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Piecewise linear geometry and spaces of valuations
Multi angle
Authors : Loeser, François (Author of the conference)
CIRM (Publisher )
03C98 - Applications of model theory
14G22 - Rigid analytic geometry
14T20
CIRM (Publisher )
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Abstract :
We will start with a general overview of the interactions of piecewiselinear geometry with non-archimedean geometry, originating in the classical work of Bieri–Groves. We will then present a general finiteness result in tropical geometry obtained recently in joint work with A. Ducros, E. Hrushovski and J. Ye.
Keywords : Berkovich spaces; tropical geometry; skeleta; stable completion; Abhyankar valuations
MSC Codes : Keywords : Berkovich spaces; tropical geometry; skeleta; stable completion; Abhyankar valuations
03C98 - Applications of model theory
14G22 - Rigid analytic geometry
14T20
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 14/02/2025 Conference Date : 30/01/2025 Subseries : Research School arXiv category : Algebraic Geometry ; Logic Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:51:35 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-01-30_Loeser.mp4 
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Information on the Event
Event Title : Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1 Event Organizers : Fantini, Lorenzo ; Pełka, Tomasz ; Pichon, Anne ; Rond, Guillaume Dates : 27/01/2025 - 31/01/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3267.html
Citation Data
DOI : 10.24350/CIRM.V.20294003Cite this video as: Loeser, François (2025). Piecewise linear geometry and spaces of valuations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20294003 URI : http://dx.doi.org/10.24350/CIRM.V.20294003 |
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Bibliography
- DUCROS, Antoine, HRUSHOVSKI, Ehud, LOESER, François, et al. Tropical functions on a skeleton. arXiv preprint arXiv:2210.04003, 2022. - https://doi.org/10.48550/arXiv.2210.04003
- DUCROS, Antoine, HRUSHOVSKI, Ehud, LOESER, François, et al. .Tropical functions on a skeleton. Journal de l'École polytechnique — Mathématiques, Tome 11 (2024), pp. 613-654. - https://jep.centre-mersenne.org/articles/10.5802/jep.261/
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