学术报告报告主题: Diophantine Differences: What Survives
报 告 人: Mumtaz Hussain 教授（澳大利亚乐卓博大学）
报告时间：2026年 9月21日（星期一）下午15:00-16:00
报告地点：37号楼3A02
邀 请 人: 李兵 教授
欢迎广大师生前往！
数学学院
2026年9月17日
报告摘要：
Many classical limsup and liminf sets in Diophantine approximation are well understood from a dimensional perspective. But what happens when one Diophantine set is removed from another? How large is what remains?
In this talk, I will discuss recent results on differences and intersections of Diophantine sets. In particular, we consider intersections of inhomogeneously badly approximable sets with well-approximable and exact-approximation sets, and investigate their size. These results reveal the rich structure that survives when competing Diophantine approximation conditions are imposed.