Title：Diophantine Differences: What Survives
Speaker：Mumtaz Hussain(Professor，La Trobe University)
Time: Sep 21, 2026, 15:00-16:00
Venue: Room 3A02, Building No. 37, Wushan Campus
Abstract:
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.
