Computational Algebra Seminar: Elsenhans -- Point counting on algebraic surfaces

Date: Thursday March 5
Time: 3pm -- 4pm
Room: 535A

Title: Point counting on algebraic surfaces
Speaker: Andreas-Stephan Elsenhans

Abstract: I will give an overview of the methods I used in the past years
to count points on varieties over finite fields. In the second part,
I will expain a p-adic method that can compute #V(F_p^d) for a hypersurface
in polynomial time. Finally we will apply these methods to some K3 surfaces
and analyze their exceptionalbehaviour.