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:Isaac Newton Institute Seminar Series
SUMMARY:Subset products and applications - Aner Shalev (He
brew University of Jerusalem)
DTSTART;TZID=Europe/London:20200317T113000
DTEND;TZID=Europe/London:20200317T123000
UID:TALK140656AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/140656
DESCRIPTION:In the past two decades there has been intense int
erest in products of subsets in finite groups.
Two important examples are Gowers'\; theory of
Quasi Random Groups and its applications by
N
ikolov\, Pyber\, Babai and others\, and the theory
of Approximate Subgroups and the Product Theorem
of Breuillard-Green-Tao and Pyber-Szabo on gr
owth in finite simple groups of Lie type of bounde
d rank\,
extending Helfgott'\;s work. These
deep theories yield strong results on products of
three subsets
(covering\, growth). What can
be said about products of two subsets?
I
will discuss a recent joint work with Michael Lars
en and Pham Tiep on this challenging problem\,
focusing on products of two normal subsets of fi
nite simple groups\, and deriving some application
s.
The proofs involve algebraic geometry\, re
presentation theory and combinatorics.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
END:VEVENT
END:VCALENDAR