BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Fourier optimization and prime gaps
DTSTART:20170928T141500
DTEND:20170928T151500
DTSTAMP:20260407T045350Z
UID:ac22259c9e3543c240a3a47bd2640a0fc58ff1080e09d54b26fd576b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Emanuel Carneiro (IMPA\, Rio de Janeiro)\nFourier optimization
  problems appear naturally within several different fields of mathematics\
 , particularly in analysis and number theory. These are problems in which 
 one imposes certain conditions on a function and its Fourier transform\, a
 nd then wants to optimize a certain quantity. A recent example is given in
  the proof of the optimal sphere packing in dimensions 8 and 24. In this t
 alk I want to show how certain optimization problems of this sort appear n
 aturally in connection to the question of bounding the maximal gap between
  consecutive primes\, under the Riemann hypothesis. In particular\, we imp
 rove the best known bounds for this problem\, that dates back to the works
  of Cramer in the 1920's. This is a joint work with M. Milinovich (Univ. o
 f Mississippi) and K. Soundararajan (Stanford Univ.)
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR