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SUMMARY:Uniformity norms on L^{infty} and applications - Bernard Host\, Ma
 rne-le-Vallee
DTSTART:20080212T160000Z
DTEND:20080212T170000Z
UID:TALK9061@talks.cam.ac.uk
CONTACT:Ben Green
DESCRIPTION: A key tool in recent advances in understanding patterns like\
 narithmetic progressions in subsets of the integers is certain norms or\ns
 eminorms. One example is the norms on Z/NZ introduced by Gowers\, and\nano
 ther example is  seminorms on bounded functions on a meaure preserving\nsy
 stem. We introduce similar seminorms on L^\\infty(Z) and study their\nrela
 tion with a class of sequences (the nilsequences) arising from\nhomogeneou
 s spaces of nilpotent Lie groups. We give several application to\nergodic 
 theory.\n
LOCATION:MR13\, CMS
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