Uploaded April 2026 | Updated September 2026, 3 weeks ago

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Special Year Learning Seminar
2:00pm|Simonyi 101
Topic: Lang-Trotter Phenomena and Unlikely Intersections
Speaker: Georgios Papas
Affiliation: Institute for Advanced Study
Date: April 14, 2026

I will discuss how the Lang–Trotter conjecture for pairs of elliptic curves implies new cases of the Zilber–Pink conjecture for curves in 3. Unlike previous results for curves in 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.