The Duffin-Schaeffer conjecture was first proposed in 1941. Since that time
it has been one of the most important open problems in metric number
theory. It has triggered about a dozen papers with partial results in
support of the conjecture. In the summer of 2019 a proof was announced by
Dimitris Koukoulopoulos and James Maynard. Their proof appears to be very
complicated and exploits a remarkable new idea. Happily, it also appears to
be correct. The proof could be presented in a one semester course on metric
number theory. In this more modest colloquium I will describe the basic
problem, review some of its history and briefly indicate the main technical
difficulty that has now been overcome by Koukoulopoulos and Maynard.
Webmaster University of Houston
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Last modified: April 11 2016 - 18:14:43