Special Year Learning Seminar
Lang-Trotter Phenomena and Unlikely Intersections
I will discuss how the Lang–Trotter conjecture for pairs of elliptic curves implies new cases of the Zilber–Pink conjecture for curves in $\mathcal{A}_3$. Unlike previous results for curves in $\mathcal{A}_g$, our result does not rely on any assumption on intersections with the boundary, and in particular applies to compact curves. The argument is based on the $G$-functions method of Yves André.
This is based on joint work in progress with Chris Daw.
Date & Time
April 15, 2026 | 2:00pm – 3:00pm
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04/15/2026 14:00
04/15/2026 15:00
Special Year Learning Seminar
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Topic: Lang-Trotter Phenomena and Unlikely Intersections
Speakers: Georgios Papas, Institute for Advanced Study
More: https://www.ias.edu/math/events/special-year-learning-seminar-44
I will discuss how the Lang–Trotter conjecture for pairs of elliptic
curves implies new cases of the Zilber–Pink conjecture for curves in
$\mathcal{A}_3$. Unlike previous results for curves in
$\mathcal{A}_g$, our result does not rely on any assumption on
intersections with the boundary, and in particular applies to compact
curves. The argument is based on the $G$-functions method of Yves
André.
This is based on joint work in progress with Chris Daw.
Simonyi 101
a7a99c3d46944b65a08073518d638c23
Location
Simonyi 101Speakers
Georgios Papas, Institute for Advanced Study