Speaker:
Asim Naseem (University of Saskatchewan)

Title:
The completion defect and defects of valued function fields

Abstract:
The investigation of "defect" is of great interest in working on deep
open problems of valuation theory in positive characteristic. For a
deeper analysis, we define and investigate two weaker notions of defect.
Namely, we define "completion defect" and "defect quotient" for finite
extensions as well as for valued function fields. In this talk, we will
present interesting results on both these defects. We use them to give a
characterization of separably defectless fields.