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Degenerations, fibrations and mirror symmetry

  • Speaker: Fenglong You(ETH Zurich)

  • Time: Jan 4, 2024, 14:00-15:00

  • Location: M1001, College of Science Building

Abstract

Given a Tyurin degeneration of a Calabi—Yau manifold into a union 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 equipped with a fibration structure over P^1. I will explain some generalizations of this conjecture and present a proof on the level of period integrals.