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Degenerations, fibrations and mirror symmetry

演讲者：游凤龙（苏黎世联邦理工学院）
时间：2024-01-04 14:00-15:00
地点：理学院大楼M1001

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.