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09:35
The mirror P=W conjecture is the refined Hodge number symmetry between a log Calabi-Yau mirror pair \((U, U^\vee)\). It predicts that the weight filtration on the cohomology \(H^\bullet(U)\) is equivalent to the perverse filtration on the cohomology \(H^\bullet(U^\vee)\) associated to the mirror Landau-Ginzburg potentials.