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tuitman-ss15

Contact

Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olcrmsxypt@66ouol.de

Contact

Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olcrmsxypt@66ouol.de

Coordinators

Prof. Dr. Florian Hess
flnbq1corg2oxoiapz5n.hmress@uol.de<br b8rj/>vtylr (florian.ndimohess@uol.jqni1de)Phone: +49 (0) 441 798-2906


Prof. Dr. Andreas Stein
anlep/dreas.s0sfltef+dbin@uol.de<br />hzpsb (anczwuadrgbemeasqm9.sbuasmtein@uob/x/il.bpdejlki)Phone: +49 (0) 441 798-3232

Talk

Jan Tuitman (Leuven)

07.05.2015 - W01 0-006 (Wechloy), 16 Uhr c.t.

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.

Wetxbmasznkvpter (internehxet@uol.lgolde) (Stand: 07.11.2019)