**SMS scnews item created by Laurentiu Paunescu at Fri 2 Sep 2011 1428**

Type: Seminar

Distribution: World

Expiry: 6 Sep 2011

**Calendar1: 6 Sep 2011 1200-1300**

**CalLoc1: Carslaw 707A**

Auth: laurent@bari.maths.usyd.edu.au

### Geometry

# Multiplicity modulo 2 as a metric invariant

### Guillaume Valette

The multiplicity of a real analytic hypersurface defined by a reduced
analytic equation P = 0, is the lowest homogeneous degree in the Taylor
expansion of P . Modulo 2 it is independent of the chosen reduced
equation.
This talk will address the following question: Is multiplicity modulo 2
a metric invariant ? I will give some partial answers.