BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:A new norm related to the Gowers U^3 norm - Pablo
Candela Pokorna
DTSTART;TZID=Europe/London:20090216T160000
DTEND;TZID=Europe/London:20090216T170000
UID:TALK16404AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/16404
DESCRIPTION:The uniformity norms (or U^\;d norms\, for d>1
a positive integer) were introduced about ten year
s ago by Gowers in his effective proof of Szemeréd
i's theorem\, and have played an important role in
arithmetic combinatorics ever since. The U^\;2
norm is naturally related to Fourier analysis\, a
nd a very active trend in current research aims to
develop an analogue of Fourier analysis for each
U^\;d norm with d>2. The body of results of thi
s research for d=3 is known as quadratic Fourier a
nalysis. After an introduction to this area we wil
l consider a new norm related to the U^\;3 norm
\, and discuss some of its applications in quadrat
ic Fourier analysis\, including a strengthening of
a central theorem of Green and Tao (the inverse t
heorem for the U^\;3 norm)\, and how this stron
ger version of the theorem can be used to give a n
ew proof of a recent decomposition-theorem of Gowe
rs and Wolf.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0W
B
CONTACT:Anton Evseev
END:VEVENT
END:VCALENDAR