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20202026
most citedReflection groups and cones of sums of squares

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math.RA2026

Eigenvalues of locally positive semidefinite matrices: Non-convexity and Geometry

Jose Acevedo, Grigoriy Blekherman, Sebastian Debus +2

A real symmetric matrix is called -locally positive semidefinite if all of its principal submatrices are positive semidefinite. We investigate the spectral geometry…

math.AG2026

Any-dimensional Positivstellensätze for symmetric functions

Sebastian Debus, Robin Schabert

Positivstellensätze provide certificates of positivity for polynomials. Extending these certificates to symmetric functions, uniformly across all dimensions, presents structural ch…