Universität Augsburg
|
Professor Dr. Igor Shparlinski
The University of New South Wales
spricht am
Dienstag, 9. Mai 2017
um
17:30 Uhr
im
Raum 2004 (L1)
über das Thema:
Abstract: |
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).