Birs- 21w5117: Real Polynomials: Counting and Stability (Online)

  1. Title:
    Stable polynomials and related families of polynomials

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  2. Title:
    Fewnomial bounds and multivariate generalisations of Descartes’ rule of signs.

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    Conic stability of polynomials, imaginary projections and spectrahedra

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  4. Title:
    Return of the plane evolute

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    Inflection polynomials of linear series on superelliptic curves

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  6. Title:
    Real zeros of sums of nonnegative circuit polynomials

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  7. Title:
    Low-complexity semidefinite representation of convex hulls of curves

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  8. Title:
    A polyhedral description for the non-properness set of a polynomial map

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  9. Title:
    Matroids with the half-plane property and related concepts

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  10. Title:
    Real Degeneracy Loci of Matrices, and Hyperbolicity cones of Real Polynomials

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  11. Title:
    Imaginary Projections: Complex Versus Real Coefficients

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  12. Title:
    Positively Hyperbolic Varieties, Tropicalization, and Positroids

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  13. Title:
    On generalizing Descartes' rule of signs to hypersurfaces

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  14. Title:
    Determinantal Representations and the Image of the Principal Minor Map

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  15. Title:
    Hyperbolic plane curves near the non-singular tropical limit

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  16. Title:
    Metric restrictions on the number of real zeros

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  17. Title:
    The many faces of polynomial capacity

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  18. Title:
    Spectrahedral representations of hyperbolic plane curves

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  19. Title:
    Counting Pieces of Real Near-Circuit Hypersurfaces Faster

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  20. Title:
    On maximally inflected hyperbolic curves

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