Séminaire TNGA : Liu Yuanmin

Orateur : Liu Yuanmin (The University of Tokyo)

Titre : p-adic weight spectral sequences of strictly semi-stable schemes over formal power series rings via arithmetic D-modules

Résumé : Over the Laurent series field k((t)), Lazda–Pál defined the E†-valued rigid cohomology and Caro constructed the theory of arithmetic D-modules. These p-adic cohomology and its coefficients theory contain more information of varieties over k((t)) compared to Berthelot’s classical theory of E-valued rigid cohomology and arithmetic D-modules. In this talk, I will introduce the construction of weight spectral sequence using the theory of arithmetic D-modules, which is an example of how E†-valued p-adic cohomology reflects the geometry of varieties over k((t)).