EVENT DETAILS AND ABSTRACT

Title: Ramification theory for complete discrete valuation field with imperfect residue field
Speaker: Liang Xiao
Speaker Info: Chicago
Brief Description:
Special Note:
Abstract:

The classical ramification theory for local fields fails when the residue field is not perfect. Abbes and Saito introduced a new definition of a ramification filtration on the Galois group of a complete discrete valuation field that applies to the imperfect residue field case. We discuss their approach and study basic properties of the ramification filtration. If time permits, we will discuss some global applications.