Theta functions and moduli spaces of abelian varieties. An application to a point counting algorithm. David Lubicz Centre d'ELectronique de l'ARmement (CELAR) Thursday 19 February, 3:05-3:55PM 375 Carslaw In this talk, we explain the original counting point algorithm of Mestre : this algorithm computes the number of rational points of an hyperelliptic curve defined over a finite field of characteristic 2. We present an algorithmic improvment of this algorithm.