“Various notions of Hodge polygon for Barsotti-Tate groups with additional ramified structure”
Venerdì 23 Febbraio 2024, ore 14:30 - Aula 2BC60 - Andrea Marrama (DM “Tullio Levi-Civita”)
Abstract
Let p be a prime number. The Hodge polygon is a classical invariant of Barsotti-Tate groups, alias p-divisible groups, and of other objects of interest in p-adic Hodge theory. In this talk, I will focus on objects endowed with an additional “ramified” structure. After explaining what this means, I will give an overview of how, in this context, the Hodge polygon can be refined in several ways. I will then outline some possible applications to the p-adic geometry of Shimura varieties or, more precisely, Rapoport-Zink spaces. This is partly joint work with Stéphane Bijakowski.
