Diophantine approximation and transcendence 2025 / Approximation diophantienne et transcendance 2025

Collection Diophantine approximation and transcendence 2025 / Approximation diophantienne et transcendance 2025

Organizer(s) Bugeaud, Yann ; Demarco, Laura ; Gaudron, Eric ; Habegger, Philipp

Date(s) 10/11/2025 - 14/11/2025

linked URL https://conferences.cirm-math.fr/3367.html

00:00:00 / 00:00:00

5 6

Some new cases of Zilber-Pink in $Y(1)^{3}$

By Christopher Daw

I will discuss joint work with M. Orr (Manchester) and G. Papas (IAS) on the Zilber-Pink conjecture for $Y(1)^{3}$. This is known for so-called asymmetric curves by the 2012 work of Habegger-Pila. More recently, an approach known as the G-function method, has yielded further cases, namely, curves intersecting (∞, ∞, ∞) (D-Orr) and curves intersecting a special point in the boundary (Papas). In this work, we extend the method to deal with curves intersecting a boundary modular curve, and to give an unconditional result for points with few places of supersingular reduction.

Information about the video

Date of recording 13/11/2025
Date of publication 26/11/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20402803
Cite this video Daw, Christopher (13/11/2025). Some new cases of Zilber-Pink in $Y(1)^{3}$. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20402803
URL https://dx.doi.org/10.24350/CIRM.V.20402803

Domain(s)

Bibliography

DAW, Christopher, ORR, Martin, et PAPAS, Georgios. Some new cases of Zilber-Pink in $ Y (1)^ 3$. arXiv preprint arXiv:2510.09603, 2025. - https://doi.org/10.48550/arXiv.2510.09603

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