BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Lonely runners and their spectra - Noah Kravitz (Oxford)
DTSTART:20251023T133000Z
DTEND:20251023T143000Z
UID:TALK237949@talks.cam.ac.uk
CONTACT:103978
DESCRIPTION:Dirichlet's Theorem from Diophantine approximation says that f
 or any real number t\, there is some v in {1\,2\,...\,n} such that tv lies
  within 1/(n+1) of an integer.  The Lonely Runner Conjecture of Wills and 
 Cusick asserts that the constant 1/(n+1) in this theorem cannot be improve
 d by replacing {1\,2\,...\,n} with a different set of n nonzero real numbe
 rs.  The conjecture\, although now more than 50 years old\, remains wide o
 pen for n larger than 7.  In this talk I will describe a new approach base
 d on the "Lonely Runner spectra" that arise when one considers the "invers
 e problem" for the Lonely Runner Conjecture.  Based on joint work with Vik
 ram Giri and with Vanshika Jain.
LOCATION:MR12
END:VEVENT
END:VCALENDAR