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A Hasse principle over Berkovich analytic curves

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Authors : Mehmeti, Vlerë (Author of the conference)
CIRM (Publisher )

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Abstract : I will be speaking of an application of Berkovich spaces to questions related to the existence of rational points on varieties. More precisely, several local-global principles applicable to quadratic forms will be presented, all of them obtained by working over Berkovich analytic curves. The main tool I employ is an adaptation of the so called patching technique, which has lately become an important method for the study of such questions.

Keywords : Berkovich spaces; local--global principles; quadratic forms; valuations

MSC Codes :
11E08 - Quadratic forms over local rings and fields
14G22 - Rigid analytic geometry

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 23/06/2023
    Conference Date : 29/05/2023
    Subseries : Research talks
    arXiv category : Algebraic Geometry ; Number Theory
    Mathematical Area(s) : Number Theory
    Format : MP4 (.mp4) - HD
    Video Time : 01:01:25
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2023-05-29_Mehmeti.mp4

Information on the Event

Event Title : Model theory of valued fields / Théorie des modèles des corps valués
Event Organizers : Chatzidakis, Zoé ; Jahnke, Franziska ; Rideau-Kikuchi, Silvain
Dates : 29/05/2023 - 02/06/2023
Event Year : 2023
Event URL : https://conferences.cirm-math.fr/2761.html

Citation Data

DOI : 10.24350/CIRM.V.20052703
Cite this video as: Mehmeti, Vlerë (2023). A Hasse principle over Berkovich analytic curves. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20052703
URI : http://dx.doi.org/10.24350/CIRM.V.20052703

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