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[Lecture] The Generalised Baker - Schmidt Problem (1970)

OCT . 31 2018

Title: The Generalised Baker - Schmidt Problem (1970)

Time: 10:00 am-11:00 am, Oct. 31, 2018, Wednesday

VenueRoom 1479, Sciences Building No. 1, Peking University

Speaker: Professor Mumtaz Hussain, La Trobe University, Australia

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.

Edited by:
 Guo Xinyu
Source: 
School of Mathematical Sciences