Hecke orbits on Siegel modular varieties
Hecke orbits on Siegel modular varieties
We sketch a proof of the Hecke orbit conjecture for the Siegel modular variety \(\mathcal{A}_{g,n}\) over \(\overline {\mathbb{F}_p }\), where p is a prime number, fixed throughout this article. We also explain several techniques developed for the Hecke orbit conjecture, including a generalization of the Serre-Tate coordinates.