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CATEGORIES:Discrete Analysis Seminar
SUMMARY:Growth in groups: an approach via incidence - Hara
ld Helfgott (Bristol)
DTSTART;TZID=Europe/London:20070123T163000
DTEND;TZID=Europe/London:20070123T173000
UID:TALK5773AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/5773
DESCRIPTION:Let K be R\, C or a Z/pZ. Let G = SL_2(K). Not lon
g ago\, I proved the\nfollowing theorem: for every
\nsubset A of G that is not contained in a proper
subgroup\, the set A\\cdot\nA\\cdot A is much larg
er than A. A generalisation to groups of higher\n
rank was desired by many\, but seemed hard to obta
in.\n \nI shall now present a proof somewhat diffe
rent from the first one. The\nrole of both the lin
earity and the group structure of G should now be\
nclearer. A few ideas towards a generalisation wil
l be discussed\, with a\nfocus on the case of SL_3
(Z/pZ).\n
LOCATION:MR4\, CMS
CONTACT:Ben Green
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