EVENT DETAILS AND ABSTRACT

Title: Towards a slope filtration theorem with nondiscrete coefficients
Speaker: Professor Kiran Kedlaya
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:

The slope filtration theorem for Frobenius modules over the Robba ring has proved to be an important tool in p-adic Hodge theory, via the construction of (phi, Gamma)-modules. However, up to now it has always been formulated in terms of a ring of power series over a discretely valued field. This restriction looks artificial when one starts studying Berger-Colmez's relative (phi, Gamma)-modules, and especially when one compares what we know about such objects to what we know in the function field setting (by recent work of Hartl). I will explain the preceding remarks and then discuss a prospective approach to the nondiscrete slope filtration theorem.