## Multiplicity modulo two 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.