Wednesday 10 February 2016 from 12:00–13:00 in Carslaw 535A

Local topological algebraicity of analytic function germs

Adam Parusinski (Sophia Antipolis)

Abstract

We show that every (real or complex) analytic function germ, defined on a possibly singular analytic space, is topologically equivalent to a polynomial function germ defined on an affine algebraic variety. The main tools for the proof are: Artin approximation and Zariski equisingularity. This is joint work with Marcin Bilski and Guillaume Rond.