UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

February 10, 2017

939 Evans Hall

5:00PM: Real Rank Two Geometry

Anna Seigal

A tensor is real rank two if it can be written as a sum of two real outer products of vectors. Similarly, the real rank two locus of an algebraic variety is the union of all secant lines spanned by real points. We seek a semi-algebraic description of this set and its boundary. Our study of Segre and Veronese varieties yields a characterization of tensors of real rank two. We also examine the real rank two locus of a curve in three-dimensional space. This talk is based on joint work with Bernd Sturmfels.

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