Unlikely Intersections Seminar
Ananth Shankar
Northwestern
Unlikely intersections and abelian varieties not isogenous to Jacobians
Abstract: I will talk about the folklore question of whether there exist abelian varieties (of dimension $\geq4$) not isogenous to Jacobians, in the context of unlikely intersections. I will also touch upon how this question relates to the André--Oort conjecture (now, a theorem). If time permits, I will describe why we expect unlikely intersections to occur over $\overline{\mathbb{F}_p}$, even though we don't expect unlikely intersections in characteristic zero.
Tuesday September 26, 2023 at 2:00 PM in 636 SEO