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Complex Geometry Seminar
ABC Massey products, holomorphic linking numbers and Calabi-Yau manifolds
ABC Massey products, holomorphic linking numbers and Calabi-Yau manifolds
组织者
演讲者
Jonas Stelzig
时间
2026年03月10日 20:00 至 21:30
地点
Online
线上
Zoom 928 682 9093
(BIMSA)
摘要
Famously, Deligne-Griffiths-Morgan-Sullivan showed that compact Kähler manifolds are formal in the sense of rational homotopy theory. In particular, all Massey products vanish. I will survey recent results on holomorphic analogues of the notions of formality and Massey products which yield new invariants of complex structures even for projective manifolds.
In particular, I will explain the construction of Calabi-Yau 3-folds which carry nontrivial triple products. This involves a comparison of the triple operations with holomorphic linking numbers (a.k.a archimedean height pairings) which may be of independent interest).
In particular, I will explain the construction of Calabi-Yau 3-folds which carry nontrivial triple products. This involves a comparison of the triple operations with holomorphic linking numbers (a.k.a archimedean height pairings) which may be of independent interest).