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Landau-Ginzburg/Calabi-Yau correspondence, analytic continuation and global mirror symmetry

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If you have a question about this talk, please contact Mustapha Amrani .

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Under Landau-Ginzburg/Calabi-Yau correspondence, the quantum cohomology of a weighted projective hypersurface is analytically continued to the FJRW quantum ring of the associated Landau-Ginzburg model. Via the Gamma integral structure, we will see that the analytic continuation is induced from Orlov’s equivalence between the derived category of coherent sheaves and the category of matrix factorizations. We also mention to a relation to mirror symmetry. This is based on joint work with Alessandro Chiodo and Yongbin Ruan.

This talk is part of the Isaac Newton Institute Seminar Series series.

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The Palmerston Room, Fisher Building, St John's College, Cambridge, CB2 1TP McCrum Theatre In person at Bryan Matthews Room, PDN and online

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