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?

By Frédéric Paulin

Appears in 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.

Information about the video

Date of recording 09/02/2017
Date of publication 15/02/2017
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.19119103
Cite this video 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

Domain(s)

Bibliography

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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