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Wednesday, May 14, 2025
Posted May 2, 2025
Last modified May 9, 2025
Felipe Ramirez, Wesleyan University
Higher dimensional and moving target versions of the Duffin--Schaeffer conjecture
The Duffin--Schaeffer conjecture (1941) was one of the most pursued problems in metric Diophantine approximation, until it was proved by Koukoulopoulos and Maynard in 2020. Roughly speaking, it gives a precise criterion to determine whether almost all or almost no real numbers are approximable by rationals at a given rate. In this talk I will introduce the problem and its context, and I will discuss higher dimensional and inhomogeneous versions of it, including some problems that are still open. Parts of the talk are based on joint work with Manuel Hauke.