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Cohomological obstructions to local-global principles - lecture 1
Multi angle
Authors : Demarche, Cyril (Author of the conference)
CIRM (Publisher )
11E08 - Quadratic forms over local rings and fields
11E72 - Galois cohomology of linear algebraic groups
20G10 - Cohomology theory
CIRM (Publisher )
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Abstract :
Hasse proved that for quadrics the existence of rational points reduces to the existence of solutions over local fields. In many cases, cohomological constructions provide obstructions to such a local to global principle. The objective of these lectures is to give an introduction to these cohomological tools.
MSC Codes : 11E08 - Quadratic forms over local rings and fields
11E72 - Galois cohomology of linear algebraic groups
20G10 - Cohomology theory
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 21/05/2019 Conference Date : 17/04/2019 Subseries : Research School arXiv category : Number Theory ; Algebraic Geometry Mathematical Area(s) : Number Theory ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:19:30 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-17_demarche_Part1.mp4 
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Information on the Event
Event Title : Méthodes géométriques et analytiques pour les points rationnels / Geometric and Analytic Methods for Rational PointsEvent Organizers : Harari, David ; Peyre, Emmanuel ; Skorobogatov, Alexei Dates : 15/04/2019 - 19/04/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1989.html
Citation Data
DOI : 10.24350/CIRM.V.19520003Cite this video as: Demarche, Cyril (2019). Cohomological obstructions to local-global principles - lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19520003 URI : http://dx.doi.org/10.24350/CIRM.V.19520003 |
See Also
- [Multi angle] Interactions of analytic number theory and geometry - lecture 4 / Author of the conference Schindler, Damaris.
- [Multi angle] Interactions of analytic number theory and geometry - lecture 3 / Author of the conference Schindler, Damaris.
- [Multi angle] Interactions of analytic number theory and geometry - lecture 2 / Author of the conference Schindler, Damaris.
- [Multi angle] Cohomological obstructions to local-global principles - lecture 4 / Author of the conference Demarche, Cyril.
- [Multi angle] Cohomological obstructions to local-global principles - lecture 3 / Author of the conference Demarche, Cyril.
- [Multi angle] Cohomological obstructions to local-global principles - lecture 2 / Author of the conference Demarche, Cyril.
- [Post-edited] Interactions of analytic number theory and geometry - lecture 1 / Author of the conference Schindler, Damaris.
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