p-adic periods and connectivity of the motivic Hopf algebra in positive characteristic

par Prof. Joseph Ayoub (Institute of Mathematics, University of Zurich)

vendredi 19 avr. 2024, 16:30 → 18:00 Europe/Paris

salle Pierre Grisvard (ex salle 314) (IHP, Paris 75005)

I will recall the construction of a new Weil cohomology theory whose coefficient ring consists of abstract p-adic periods. I will then use this new Weil cohomology theory to prove that the motivic Hopf algebras associated to the classical Weil cohomology theories are connective. (This is new only when the base field has positive characteristic, and the proof proceeds by reducing to the characteristic zero case.)

19_04_2024_Joseph_Ayoub_Notes