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We discuss the geometry of orbit closures and the asymptotic behavior ofKronecker coefficients in the context of the Geometric Complexity Theoryprogram to prove a variant of Valiant's algebraic analog of the P not equal toNP conjecture. We also describe the precise separation of complexity classesthat their program proposes to demonstrate.

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