Integral structures on de Rham cohomology
Appears in collection : Conférence de mi-parcours du programme ANRThéorie de Hodge p-adique et Développements (ThéHopaD)
I will describe joint work in progress with Andrew Snowden on the construction of canonical integral structures on the de Rham cohomology of smooth projective varieties over number fields. Our construction relies on integral p-adic Hodge theory.