Spring 2019

Determinantal Representations and the Principal Minor Map

Friday, September 11th, 2020 10:00 am10:30 am

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Cynthia Vinzant (North Carolina State University)

The principal minor map takes an n by n symmetric matrix to the vector of its 2^n principal minors. Equations cutting out the image of this map were described by Oeding in 2011. In this talk, I will describe a new proof of this result that relies on a characterization of determinantal representability of multiaffine polynomials.  This is based on joint work with Abeer Al-Ahmadieh. 

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