Rational Points and Motivic Integration

by Prof. H'el`ene Esnault (University of Essen, Germany.)

Thursday 6 Jan 2011, 16:00 → 17:00 Asia/Kolkata

AG-69 (Colaba Campus)

We give a positive ansawer 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)