Counting and equidistribution of integral representations by quadratic norm forms in positive characteristic? | Vidéo | Carmin.tv

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Counting and equidistribution of integral representations by quadratic norm forms in positive characteristic?

De Frédéric Paulin

Apparaît dans les collections : Homogeneous spaces, diophantine approximation and stationary measures / Espaces homogenes. Approximation diophantienne. Mesures stationnaires, Ecoles de recherche

In this talk, we will prove the projective equidistribution of integral representations by quadratic norm forms in positive characteristic, with error terms, and deduce asymptotic counting results of these representations. We use the ergodic theory of lattice actions on Bruhat-Tits trees, and in particular the exponential decay of correlation of the geodesic flow on trees for Hölder variables coming from symbolic dynamics techniques.

Informations sur la vidéo

Date de captation 09/02/2017
Date de publication 15/02/2017
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19119103
Citer cette vidéo Paulin, Frédéric (09/02/2017). Counting and equidistribution of integral representations by quadratic norm forms in positive characteristic?. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19119103
URL https://dx.doi.org/10.24350/CIRM.V.19119103

Domaine(s)

Bibliographie

Broise-Alamichel, A., Parkkonen, J., & Paulin, F. (2016). Equidistribution and counting under equilibrium states in negatively curved spaces and graphs of groups. Applications to non-Archimedean Diophantine approximation. <arXiv:1612.06717> - https://arxiv.org/abs/1612.06717

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