Thursday 23 April 2015 from 12:00–13:00 in Carslaw 535A
Proof of Whitney's fibering conjecture
Adam Parusinski (Sophia Antipolis)
Stratifications (with Whithey or Thom regularity conditions) are the most common tools of constructing topological trivializations of families of algebraic varieties or analytic function germs. The other ones include Zariski equisingularities (that is explicit and algorithmic) and the resolution of singularities.
In this talk we discuss both the stratification and the Zariski equisingularity methods. For the latter one we construct trivializations that preserve the space of real analytic arcs. We use this construction to prove Whitney’s fibering conjecture: the existence of a stratification of a complex analytic variety that locally along each stratum fibers the variety in complex analytic leaves. This is joint work with Laurentiu Paunescu.