Matthew Palmer: A version of the Duffin-Schaeffer theorem in number fields

In classical Diophantine approximation, the Duffin-Schaeffer theorem
is a generalisation of Khinchin's theorem from monotonic functions to
a wider class of approximating functions.

In recent years, there has been some interest in finding analogues of
the theorems of classical approximation in different settings - one of
those settings is that of number fields. A very general analogue of
Khinchin's theorem was proven in number fields by David Cantor in 1965
- however, so far the only versions of the Duffin-Schaeffer theorem
proven in this setup have been for very restrictive choices of number
fields.
 
In this talk, I will discuss a version of the Duffin-Schaeffer theorem
for all number fields.