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CATEGORIES:Algebra seminar
SUMMARY:A Rational Hilbert-Mumford Theorem - Michael Bate\
, University of York
DTSTART:20150325T160000Z
DTEND:20150325T170000Z
UID:TALK2528AT
URL:/talk/index/2528
DESCRIPTION:The classical Hilbert-Mumford Theorem gives a way
of identifying closed orbits for algebraic groups
acting on varieties (think groups of matrices acti
ng on vector spaces and you won’t go far wrong). I
dentifying the closed orbits is very important if
you want to form a quotient\, for example. The the
ory is highly developed and works very well over a
lgebraically closed fields\, but problems arise as
soon as you move to other fields (even the transi
tion from complex to real numbers throws up some d
ifficulties). In this talk I’ll describe a new app
roach to such problems which works over arbitrary
fields. I’ll illustrate some of the key features u
sing simple examples which shouldn’t need much mor
e than a bit of linear algebra to understand.
LOCATION:Watson Building\, Lecture Room A
CONTACT:David Craven
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