Speaker:
Samar ElHitti (New York City College of Technology CUNY)

Title:
The Dependent Artin-Schreier defect extension that fails
Strong Monomialization.

Abstract:
Artin-Schreier defect extensions are of interest in working on Local
Uniformization in positive characteristic, in particular, Kuhlmann
classifies such extensions as dependent and independent, and we are
interested in the role this classification plays. Recently, we proved
using generating sequences of valuations that the first extension of
the example constructed by Cutkosky and Piltant that fails strong
monomialization (a relative form of Local Uniformization) is indeed a
dependent Artin-Schreie r extension, as conjectured by Kuhlmann. We
give motivation and background for studying such problems.