Global Fields

July 2 - 6, 2007, Moscow, Russia

Laboratoire J.-V. Poncelet

General

Announcement

Participants

Practical details

Program

Alexey Zykin

Independent University of Moscow, Russia

Asymptotic problems in the theory of global fields

In this talk we will present a series of results and open problems emerging from the study of infinite global fields. We will give a survey of the asymptotic properties of the Brauer-Siegel and Euler-Kronecker invariants in the classical situation of number fields and function fields as well as in certain higher dimensional cases. Finally we will dwell on some open questions related to the study of asymtotic properties of Selberg zeta function associated to discrete subgroups of $SL_2(\mathbb R),$ which are conjecturally very similar to those of the classical Dedekind zeta function.