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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
Organizer
Hossein Movasati
Speaker
Emanuel Scheidegger
Time
Friday, March 17, 2023 9:30 PM - 11:00 PM
Venue
Online
Online
Zoom 559 700 6085
(BIMSA)
Abstract
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.