# 2022-01-25

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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.

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