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Degenerations, fibrations and higher rank Landau-Ginzburg models

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KA2W03 - Mathematical physics: algebraic cycles, strings and amplitudes

Given Tyurin degenerations of Calabi–Yau manifolds into unions of two quasi-Fano varieties. Doran– Harder–Thompson predicted that the Landau-Ginzburg mirrors of these two quasi-Fano varieties can be glued together to obtain the mirror of the Calabi-Yau variety which admits a fibration structure over P^1. I will explain a generalization of this conjecture to the degenerations of quasi-Fano varieties and how to use it to study higher codimension fibration structures of Calabi–Yau manifolds. This is based on joint work with Charles Doran and Jordan Kostiuk.

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

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