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CATEGORIES:Algebra seminar
SUMMARY:Brauer relations in finite groups - Alex Bartel\,
University of Warwick
DTSTART:20140306T160000Z
DTEND:20140306T170000Z
UID:TALK2573AT
URL:/talk/index/2573
DESCRIPTION:If _G_ is a finite group\, a Brauer relation is a
pair of finite _G_-sets _X_\, _Y_ such that the co
mplex permutation representations _C_[_X_] and _C_
[_Y_] are isomorphic. Brauer noticed in the early
1950s that such pairs give rise to number fields t
hat share many properties\, but are\, in general\,
not isomorphic. Later Brauer relations were used
by Sunada to produce non-isometric isospectral man
ifolds (drums\, whose shape you cannot hear)\, and
most recently by the Dokchitser brothers in the t
heory of elliptic curves. Often\, in order to appl
y Brauer relations in any of the above contexts\,
one needs to explicitly produce a suitable Brauer\
nrelation for a suitable group _G_. In joint work
with Tim Dokchitser\, we have completely classifie
d all Brauer relations for all finite groups. I wi
ll explain what this classification looks like\, g
iving lots of concrete examples along the way.
LOCATION:Watson Building\, Lecture Room C
CONTACT:David Craven
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