##### Department of Mathematics,

University of California San Diego

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### Math 278C - Optimization seminar and Data Science

## Anna Seigal

#### UC Berkeley

## Real Rank Two Geometry

##### Abstract:

The real rank two locus of an algebraic variety is the closure of the union of all secant lines spanned by real points. We seek a semi-algebraic description of this set. Its algebraic boundary consists of the tangential variety and the edge variety. Our study of Segre and Veronese varieties yields a characterization of tensors of real rank two.

Host: Jiawang Nie

### November 29, 2017

### 3:00 PM

### AP&M 2402

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