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Stable polynomials, Lorentzian polynomials and discrete convexity

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Brändén, Petter

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Stable polynomials, Lorentzian polynomials and discrete convexity
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24
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A multivariate polynomial is stable if it is nonzero whenever all its variables have positive imaginary parts. Lorentzian polynomials generalize homogeneous and stable polynomials. We discuss the spaces of stable and Lorentzian polynomials, their tropicalizations, and the connection to discrete convexity. This is based on joint work with June Huh.