Asymptotic distribution of Frobenius roots for curves and abelian varieties over a finite field | Vidéo | Carmin.tv

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Asymptotic distribution of Frobenius roots for curves and abelian varieties over a finite field

By Michael Tsfasman

Appears in collection : COGNAC - Conference On alGebraic varieties over fiNite fields and Algebraic geometry Codes

We are interested in the behaviour of Frobenius roots when the base field is fixed and the genus of the curve or the dimension of the abelian variety tends to infinity. I shall explain how to put the question and what are the answers. This happens to be a question in algebraic number theory and harmonic analysis. For curves (and for number fields) these are my old results with Serge Vladuts, for abelian varieties those of J.-P. Serre (séminaire Bourbaki, 2018) and my work in progress with Nicolas Nadirashvili.

Information about the video

Date of recording 16/02/2023
Date of publication 06/03/2023
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20001903
Cite this video Tsfasman, Michael (16/02/2023). Asymptotic distribution of Frobenius roots for curves and abelian varieties over a finite field. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20001903
URL https://dx.doi.org/10.24350/CIRM.V.20001903

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