Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Augsburger Mathematisches Kolloquium


Professor Dr. Igor Shparlinski
The University of New South Wales

spricht am
Dienstag, 9. Mai 2017
17:30 Uhr
Raum 2004 (L1)
über das Thema:

»Effective Hilbert's Nullstellensatz and Finite Fields«

We give an overview of recent applications of effective versions of Hilbert's Nullstellensatz to various problems in the theory of finite fields. In particular, we present some results about the size of the set generated by s-fold products of some rational fractions in a finite field. This result has some algorithmic applications. We also show that almost all points on algebraic varieties over finite fields avoid Cartesian products of small order groups. This result is a step towards Poonen's conjecture. We finish with an outline of some open problems.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Dieter Jungnickel

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).

wwwadm@Math.Uni-Augsburg.DE,    So 16-Apr-2017 15:23:49 MESZ