The Generalised Baker--Schmidt Problem (1970)
报告人：Prof. Mumtaz Hussain (La Trobe University, Australia)
地点：Room 1479, Sciences Building No. 1
Abstract: The Generalised Baker--Schmidt Problem, inspired by the pioneering work of Alan Baker
and Wolfgang Schmidt (1970), is a central problem in metric Diophantine approximation on manifolds.
It concerns the estimation of $f$-dimensional Hausdorff measure of the set of $\psi$-approximable points
on a nondegenerate manifold. In this talk, I will explain resolution of this problem for a parabola, planar
curves and hypersurfaces. These result are the first of their kind.