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Speaker:

Peter Malický
Affiliation:

Matej Bel University, Banská Bystrica
Date:

Thu, 10/11/2011 - 10:30 - 11:30
Location:

MPIM Lecture Hall
Parent event:

Extra talk We consider a two dimensional dynamical system system given

by the map F(x,y) = ( x(4-x?y), xy ) which maps the triangle

{(x,y): 0<=x, 0<=y, x + y<=4}

onto itself.

The aim of our talk is to show that properties of periodic points

of the map F are closely related to some open problems in theory of numbers.

These open problems are Artin's conjecture on primitive roots, Wieferich primes

and Sophie Germain primes.

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