Birs- 19w5180: Geometry of Real Polynomials, Convexity and Optimization

  1. Title:
    Hyperbolicity, stability, and determinantal representations

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    When is the conic hull of a curve a hyperbolicity cone?

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    Limitations on the expressive power of convex cones without long chains of faces

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    Noncommutative polynomials describing convex sets

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  5. Title:
    Vandermonde varieties, mirrored spaces, and cohomology of symmetric semi-algebraic sets

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    Sums of squares and quadratic persistence

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  7. Title:
    Kippenhahn’s Theorem for the joint numerical range

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  8. Title:
    From Counting to Optimization and Back using Geometry of Polynomials

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  9. Title:
    A framework for applying subgradient methods

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  10. Title:
    Algorithms to compute topological invariants of symmetric semi algebraic sets

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  11. Title:
    On sum of squares representation of convex forms and generalized Cauchy-Schwarz inequalities

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  12. Title:
    The Saddle Point Problem of Polynomials

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  13. Title:
    Conic programming: infeasibility certificates and projective geometry

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  14. Title:
    Graph Density Inequalities and Sums of Squares

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  15. Title:
    Solving non-linear PDEs with the Lasserre hierarchy

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  16. Title:
    Tractable semi-algebraic approximation using Christoffel-Darboux kernel

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  17. Title:
    From finite to infinite dimensional moment problems

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  18. Title:
    The moment problem for the algebra of symmetric tensors

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  19. Title:
    Positive integral kernels for polar derivatives

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  20. Title:
    Quantative Fundamental Theorem of Algebra

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