Unlikely intersections on elliptic surfaces

par Prof. Douglas Ulmer (University of Arizona, IHES)

vendredi 31 janv. 2025, 16:30 → 18:00 Europe/Paris

Pierre Grisvard (ex-salle 314) (IHP)

We consider tangencies between sections of a complex elliptic surface
and use an interesting foliation to prove an "unlikely intersection"
result.  This leads to connections with divisibility sequences, height
bounds, and the geography of algebraic surfaces.  This is joint work
with Giancarlo Urzua.