KTH/SU Mathematics Colloquium

May 16, 2007

Prof. Claus Scheiderer, Konstanz

Positive polynomials and sums of squares

Since Minkowski and Hilbert, the polarity between positive polynomials and sums of squares has occupied generations of mathematicians. The interest in this matter has even increased in recent years, due to new insights on the one hand and to applications in optimization on the other. In my talk I will both describe the historic roots of the problem and speak about selected recent developments.