**H'el`ene Esnault**

University of Essen, Germany

January 6, 2011

**Rational Points and Motivic Integration**:
We give a positive answer to a question by Serre over char. 0
strictly henselian fields asserting the existence of fixed rational points of a finite $\ell$-group action on the affine space, using motivic integration. Here $\ell$ is different from the residue characteristic. (Joint with Johannes Nicaise)