# Colloquium abstracts

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)