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Article Dans Une Revue SIAM Journal on Computing Année : 2011

An overview of mathematical issues arising in the Geometric complexity theory approach to VP v.s. VNP

Laurent Manivel

Résumé

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.

Dates et versions

hal-01250953 , version 1 (05-01-2016)

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Laurent Manivel. An overview of mathematical issues arising in the Geometric complexity theory approach to VP v.s. VNP. SIAM Journal on Computing, 2011, 40 (4), pp.1179-1209. ⟨hal-01250953⟩
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