Prof. Dr. Ralph Schwarzkopf

+49 (0)441 798-3217

W1 1-111





+49 (0)441 798-3004

Antje Hagen

+49 (0)441 798-3247

W1 1-115

Traute Lampke

+49 (0)441 798-3241

W1 1-120


Carl von Ossietzky Universität Oldenburg
Fakultät V - Mathematik und Naturwissenschaften
Institut für Mathematik
Ammerländer Heerstraße 114 - 118
26129 Oldenburg (Oldb)


Vortrag - Institut für Mathematik

(OAl) Jan Tuitman (Leuven)

07.05.2015 - W01 0-006 (Wechloy), 16 Uhr c.t. Uhr
Point counting on curves: the general case

Kedlaya's algorithm computes the zeta function of a hyperelliptic curve over a finite field using the theory of p-adic cohomology. We have recently developed and implemented a generalisation of this algorithm that works for (almost) any curve. First, we will outline the theory involved. Then we will describe our algorithm and illustrate the main ideas by giving some examples. Finally, if time permits, we will talk about applying the algorithm to the problem of Coleman integration, which is work in progress.

(Stand: 09.06.2021)