UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

March 29, 2016

939 Evans Hall

3:45PM: Do Sums of Squares Dream of Free Resolutions?

Greg Blekherman

A polynomial with real coefficients is nonnegative if it takes only nonnegative values. For example, any sum of squares of polynomials is obviously nonnegative. The study of the relationship between nonnegative polynomials and sums of squares is a classical area in real algebraic geometry. I will explain how this topic is inextricably linked to classical topics in algebraic geometry and commutative algebra, such as properties of the minimal free resolution, and give discuss specific example of square-free monomial ideals.

5:00PM: Student seminar on 3264


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