“Explicit $p$-adic Hodge Theory and $p$-adic Monodromy Groups”
Martedì 19 Maggio 2026, ore 14:00 - Aula 2BC30 - Moqing Chen (Université de Strasbourg)
Abstract
Over a $p$-adic field, the $p$-adic Tate module of an abelian variety carries a natural Galois representation. The associated $p$-adic monodromy group, defined as the Zariski closure of its image, provides an important invariant along Hecke orbits in the Siegel modular variety.
In this talk, I will present several families of Galois representations arising from abelian surfaces with supersingular good reduction over $Q_p$ and classify the associated $p$-adic monodromy groups. I will then introduce a coarse moduli space parameterizing these $p$-adic Galois representations and describe the distribution of the corresponding p-adic monodromy groups on this space.
