Geometric Analysis and Topology Seminar

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Non-Negative Hermitian Polynomials

Speaker: Dror Varolin, Stony Brook

Location: Warren Weaver Hall 813

Date: Friday, March 10, 2006, 10 a.m.

Synopsis:

Hilbert's 17th problem asked if every non-negative polynomial of several real variables is the sum of squares of rational functions. This was answered affirmatively by E. Artin. We will formulate and present a complete solution to an analogous question for Hermitian polynomials, posed about 10 years ago by J. D'Angelo.