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math.AG2022
Weak and Strong Extremal Biquadratics
Grigoriy Blekherman, Bogdan Raiţă, Isabelle Shankar +1
We study quasiconvex quadratic forms on matrices which correspond to nonnegative biquadratic forms in variables. We disprove a conjecture stated by Harutyunyan…
math.AG2020
Symmetry Adapted Gram Spectrahedra
Alexander Heaton, Serkan Hoşten, Isabelle Shankar
This paper explores the geometric structure of the spectrahedral cone, called the symmetry adapted PSD cone, and the symmetry adapted Gram spectrahedron of a symmetric polynomial.…