Institut für Informatik
Rheinische Friedrich-Wilhelms-Universität Bonn


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Kolloquium Sommersemester 1999

Die Dozenten der Informatik

Prof. Dr. Salahoddin Shokranian, Universidade de Brasilia, z.Zt. Max-Planck-Institut für Mathematik, Bonn

spricht über

Analysis on Groups and Codes on Modular Curves

Datum: Montag, 26. April 1999
Zeit: 16:15 Uhr
Ort: Hörsaal 1, Römerstraße 164

Zusammenfassung

In this talk which is planned for 60 minutes duration, as a mathematician I would like to discuss for the computer scientists, the role of harmonic analysis on groups in coding theory over algebraic curves.

The problem of counting the number of rational points of an algebraic curve over a finite field is of importance in arithmetic and coding theory. A special class of curves known as modular curves play important role in the study of elliptic curves and so in coding theory. Modular curves are defined by group theoretical devices and for this reason methods from analysis on groups can be applied to count the number of points over certain finite fields for such curves.

We wish to try to explain the ideas in as much as simple language possible, but some knowledge of number theory and group theory is indispensable.

(Vortrag auf Einladung von M. Clausen)

LaTeX Version Letzte Änderung: 18. März 1999, 12:08:59


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