學術報告

學術報告1. 

報告人：Prof. Mumtaz Hussain,

The University of Newcastle

報告題目：An Inhomogeneous Jarník type theorem for planar curves

摘要：In metric Diophantine approximation there are two main types of approximations: simultaneous and dual for both homogeneous and inhomogeneous settings. In this talk, we will discuss an inhomogeneous Jarn\'ik type theorem for convergence on planar curves and in so doing complete the metric theory for both the homogeneous and inhomogeneous settings for approximation on planar curves.

 時間：2016年3月13日（星期日）晚19：30-20：15

地點： 科技樓南樓602  

學術報告2.

報告人：Prof. Simon Kristenson,

 Aarhus University

報告題目：A problem in non-linear Diophantine approximation

摘要：In this talk, we will discuss the Lebesgue and Hausdorff measure results for the set of vectors satisfying infinitely many fully non-linear Diophantine inequalities. The set is also associated with a class of linear inhomogeneous partial differential equations whose solubility is related to a certain Diophantine condition. The failure of the Diophantine condition guarantees the existence of a smooth solution.

時間：2016年3月13日（星期日）晚20：25-21：10

地點： 科技樓南樓 602