erickson-ws14
Contact
Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olcrypt@uol.de
Contact
Carl von Ossietzky Universität Oldenburg
Institut für Mathematik
26111 Oldenburg
olcrypt@uol.de
Coordinators
Prof. Dr. Florian Hess
florian.hess@uol.de
Phone: +49 (0) 441 798-2906
Prof. Dr. Andreas Stein
andreas.stein@uol.de
Phone: +49 (0) 441 798-3232
erickson-ws14
Talk
Stefan Erickson (Colorado College)
13.11.2014 - W01 0-012 (Wechloy), 16 Uhr c.t.
Enumerating Cubic Function Fields
A fundamental question in number theory is enumerating number fields and function fields with discriminant up to some bound. While the situation for quadratic fields is fairly straightforward, cubic fields pose a greater challenge. After a brief introduction to zeta functions and function fields, we will describe the techniques behind enumerating cubic function fields with a given quadratic resolvent, building on the work of Cohen-Morra for cubic number fields. This is joint work with Colin Weir (Simon Fraser) and Ravi Donepudi (UIUC).