School of Mathematics Colloquium

`Hausdorff dimension in inhomogeneous Diophantine approximation'

by Prof. Seonhee Lim (Seoul National University)

Thursday, February 22, 2018 from to (Asia/Kolkata)
at TIFR, Mumbai ( AG-69 )
Description
Abstract:
Homogeneous dynamics is often helpful to solve some problems in number
theory. We will explain a particular example of the setting in homogeneous
dynamics, useful for Diophantine approximation. We will then show why the
set of epsilon-badly approximable target vectors in inhomogeneous
Diophantine approximation is not full for almost every approximating
vectors. We further explain the situation in dimension 1, which is almost
settled with the aid of continued fraction expansions. The main part is a
joint work with Uri Shapira and Nicolas de Saxce.