Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex Free Spectrahedra, Absolute Extreme Points, and Dilations   Evert and Helton proved that real free spectrahedra are the matrix convex
hulls of their absolute extreme points. However, this result does not extend to
complex free spectrahedra, and we examine multiple ways in which the analogous
result can fail. We also develop some local techniques to determine when matrix
convex sets are not (duals of) free spectrahedra, as part of a continued study
of minimal and maximal matrix convex sets and operator systems. These results
apply to both the real and complex cases.

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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: econ