BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Polynomial configurations in the primes - Julia Wolf (Paris)
DTSTART:20130130T160000Z
DTEND:20130130T170000Z
UID:TALK41150@talks.cam.ac.uk
CONTACT:Ben Green
DESCRIPTION:The Bergelson-Leibman theorem states that if P_1\, ... \, P_k 
 are\npolynomials with integer coefficients\, then any subset of the intege
 rs of\npositive upper density contains a polynomial configuration x+P_1(m)
 \, \\dots\,\nx+P_k(m)\, where x\,m are integers. Various generalizations o
 f this theorem are\nknown. Wooley and Ziegler showed that the variable m c
 an in fact be taken to be\na prime minus 1\, and Tao and Ziegler showed th
 at the Bergelson-Leibman theorem\nholds for subsets of the primes of posit
 ive relative upper density. In this\ntalk we discuss a hybrid of the latte
 r two results\, namely that the step m in\nthe Tao-Ziegler theorem can be 
 restricted to the set of primes minus 1. This is\njoint work with Thai Hoa
 ng Le.
LOCATION:MR11\, CMS
END:VEVENT
END:VCALENDAR