SMS scnews item created by Stephan Tillmann at Wed 22 Apr 2015 0923
Type: Seminar
Distribution: World
Expiry: 22 Jul 2015
Calendar1: 23 Apr 2015 1200-1300
CalLoc1: Carslaw 535A
Auth: tillmann@p710.pc (assumed)

Geometry & Topology

Proof of Whitney’s fibering conjecture

Adam Parusinski (Sophia Antipolis)

Thursday 12 March 2015 from 12:00–13:00 in Carslaw 535A

Please join us for lunch after the talk!

Abstract: 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.

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