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Geometry, Arithmetic and Differential Equations of Periods
On attractor points on the moduli space of Calabi-Yau threefolds
On attractor points on the moduli space of Calabi-Yau threefolds
组织者
侯赛因·莫瓦萨提
演讲者
Emanuel Scheidegger
时间
2023年03月17日 21:30 至 23:00
地点
Online
线上
Zoom 559 700 6085
(BIMSA)
摘要
We briefly review the origin in physics of attractor points on the moduli space of Calabi-Yau threefolds. We turn to their mathematical interpretation as special cases of Hodge loci. This leads to fascinating conjectures on the modularity of the Calabi-Yau threefolds at these points in terms of their periods and L-functions. For hypergeometric one-parameter families of Calabi-Yau threefolds, these conjectures can be verified at least numerically to very high precision.