Adam Parusinski

Title: New results on Zariski equisingularity

Abstract:
Topologically equisingular deformations of real or complex analytic set germs
can be constructed by different means: stratification theory, resolution of 
singularities, or algebro-geometric equisingularity of Zariski. We present 
recent results on Zariski equisingularity, and apply them to stratification 
theory. In particular, we give a proof of Whitney's fibering conjecture.  
This proof is based on an explicit trivialization of Zariski equisingular 
families. This is a joint work with Laurentiu Paunescu.