Cours/Séminaire
Notice
Langue :
Anglais
Crédits
Jérémy MAGNIEN (Réalisation), Romain Dujardin (Intervention)
Conditions d'utilisation
CC BY-NC-ND 4.0
DOI : 10.60527/1zrn-z575
Citer cette ressource :
Romain Dujardin. I_Fourier. (2017, 20 juin). R. Dujardin - Some problems of arithmetic origin in complex dynamics and geometry (part1) , in 2017. [Vidéo]. Canal-U. https://doi.org/10.60527/1zrn-z575. (Consultée le 16 juillet 2024)

R. Dujardin - Some problems of arithmetic origin in complex dynamics and geometry (part1)

Réalisation : 20 juin 2017 - Mise en ligne : 15 mars 2018
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Descriptif

Some themes inspired from number theory have been playing an important role in holomorphic and algebraic dynamics (iteration of rational mappings) in the past ten years. In these lectures I would like to present a few recent results in this direction. This should include: the dynamical Manin-Mumford problem, in particular in the case of product rational maps (P(x),Q(y)) (after Ghioca, Nguyen, and Ye) the “unlikely intersection” problem (after Baker and DeMarco, and also Favre and Gauthier).

A key technical tool in these results is the equidistribution theory of points of small height. If time permits, we’ll also discuss the related problem of the equidistribution of roots of random polynomials.

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