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\textsc{Algebra}
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\textit{Positive polynomials and sums of squares invariant under group actions}
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Claus Scheiderer\par
University of Konstanz
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\textbf{Abstract:} We consider a reductive algebraic group G defined over the reals which
acts linearly on a vector space V . It is classically known that the algebra of invariant
polynomials is finitely generated, which allows one to construct an algebraic orbit
map V − > V/G. After introducing the setup and recalling some important results
by Procesi-Schwarz, Br¨ocker and others, we will take a closer look at G-invariant
polynomials which are positive or sums of squares.\vspace{\fill}
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Tuesday, October 3, 2006, 4:00 pm\par
Mathematics and Science Center, W303
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\textsc{Mathematics and Computer Science}\par
\textsc{Emory University}
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