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SUMMARY:Growth in groups: an approach via incidence - Harald Helfgott (Bri
 stol)
DTSTART:20070123T163000Z
DTEND:20070123T173000Z
UID:TALK5773@talks.cam.ac.uk
CONTACT:Ben Green
DESCRIPTION:Let K be R\, C or a Z/pZ. Let G = SL_2(K). Not long ago\, I pr
 oved the\nfollowing theorem: for every\nsubset A of G that is not containe
 d in a proper subgroup\, the set A\\cdot\nA\\cdot A is much larger than A.
   A generalisation to groups of higher\nrank was desired by many\, but see
 med hard to obtain.\n \nI shall now present a proof somewhat different fro
 m the first one. The\nrole of both the linearity and the group structure o
 f G should now be\nclearer. A few ideas towards a generalisation will be d
 iscussed\, with a\nfocus on the case of SL_3(Z/pZ).\n
LOCATION:MR4\, CMS
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