BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:On a question of Babai and Sós\, a model theoretic approach - Dan
 iel Palacin (Freiburg)
DTSTART:20190123T134500Z
DTEND:20190123T144500Z
UID:TALK117325@talks.cam.ac.uk
CONTACT:Aled Walker
DESCRIPTION:In 1985\, Babai and Sós asked whether there exists a constant
  c>0 such that every finite group of order n has a product-free set of siz
 e at least cn\, where a product-free set of a group is a subset that does 
 not contain three elements x\, y and z satisfying xy=z. Gowers showed that
  the answer is no in the early 2000s\, by linking the existence of product
 -free sets of large density to the existence of low dimensional unitary re
 presentations.\n\nIn this talk\, I will explain how one can answer the afo
 rementioned question using model theoretic ideas\, and relate the existenc
 e of product-free sets of large density to the existence of certain non-tr
 ivial group compactifications
LOCATION:MR11\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
END:VEVENT
END:VCALENDAR