|Equipe(s) :||fa, tn, tga,|
|Responsables :||Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel|
|Email des responsables :||email@example.com|
|Orateur(s)||Prasuna Bandi - IHES,|
|Titre||Exact approximation in metric measure spaces|
|Horaire||14:00 à 15:00|
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.