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PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20210507T145839Z
DTSTART:20210511T120000Z
DTEND:20210511T130000Z
SUMMARY:Manchester Algebra Seminar - Jay Taylor - University of Mancheste
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UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}p1t-koeg1at
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DESCRIPTION:Speaker: Adam Thomas - University of Warwick\n\nSpeaker: Jay
Taylor - University of Manchester\n\nTitle: Invariant Bilinear Forms on
Lie Algebras\n\n\nAbstract: Assume a group G acts linearly on a k-vecto
r space V. Then G acts on the space of bilinear forms on V. A standard q
uestion in representation theory asks whether G fixes a nondegenerate bi
linear form on V. Equivalently\, is there a G-equivariant isomorphism be
tween V and its dual module Hom(V\,k).\n\nIn this talk we consider the c
ase where G is a connected reductive algebraic k-group acting on its Lie
algebra V = Lie(G) via the adjoint representation. A result of Herpel s
trongly suggests that V should admit a non-degenerate G-invariant biline
ar form whenever the characteristic of k is ‘pretty good’ for G. In this
talk we discuss some recent work on this problem and explain some of th
e standard consequences of this result\, due to Richardson.\n\nTime: 1pm
\nPlace: Zoom
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Zoom - online\, Alan Turing Building\, Manchester
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