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An overview of mathematical issues arising in the Geometric complexity theory approach to VP v.s. VNP
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In this article, the authors discuss the geometry of orbit closures and the asymptotic behavior of Kronecker coefficients in the context of the Geometric Complexity Theory program to prove a variant of Valiant's algebraic analog of the P not equal to NP conjecture.Abstract:
We discuss the geometry of orbit closures and the asymptotic behavior of Kronecker coefficients in the context of the Geometric Complexity Theory program to prove a variant of Valiant's algebraic analog of the P not equal to NP conjecture. We also describe the precise separation of complexity classes that their program proposes to demonstrate.read more
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A mathematical theory of communication
TL;DR: This final installment of the paper considers the case where the signals or the messages or both are continuously variable, in contrast with the discrete nature assumed until now.
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Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: II
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Lie Group Representations on Polynomial Rings
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Completeness classes in algebra
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