Geometry & Topology Seminar

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.