# Séminaires : Séminaire Théorie des Nombres

 Equipe(s) : fa, tn, tga, Responsables : Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel Email des responsables : cathy.swaenepoel@imj-prg.fr Salle : Adresse : Description http://www.imj-prg.fr/tn/STN/stnj.html

 Orateur(s) Prasuna Bandi - IHES, Titre Exact approximation in metric measure spaces Date 23/01/2023 Horaire 14:00 à 15:00 Diffusion Résume In Diophantine approximation, it is a classical problem to determine the size of the sets related to $\psi$ approximable set for a given non-increasing function $\psi$. The exact $\psi$ approximable set is the set of numbers that are $\psi$ approximable and not approximable to a better order than $\psi$. Bugeaud determined the Hausdorff dimension of the exact $\psi$ approximable set answering a question posed by Beresnevich, Dickinson, and Velani. In this talk, I will present the results on this exact approximation problem in general metric measure spaces satisfying certain conditions. This is joint work with Anish Ghosh and Debanjan Nandi. Salle 1016 Adresse Sophie Germain