UH  


Department of Mathematics




 Colloquium
 > Current semester
 > Next semester
 > (Next)2 semester
 > Past semesters
 > Directions/maps

 > Undergraduate
         Colloquium





For further information, or to suggest a colloquium speaker, please contact the organizer.



To subscribe to the Colloquium mailing-lists, please email the organizer.



Print Announcement   


Jeffrey Vaaler

UT Austin



The Duffin-Schaeffer Conjecture



January 22, 2020
3:00 pm    PHG 646



Abstract
 

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    ---    Last modified:  April 11 2016 - 18:14:43

Feedback Contact U H Site Map Privacy and Policies U H System Statewide Search Compact with Texans State of Texas