01 Sep 2009; Mat-Nat Faculty (UiTø), room U7=A152. Tuesday 12:15-14:00.

Valentin Lychagin

"Contact geometry and Abel and Samuelson equations".

In this talk a geometric approach to the Samuelson equations arising in his theory of extremal economical models will be outlined. Then I will discuss a link between the classical Abel equations and Samuelson equations. It will be shown that the Abel equations play the role of symmetries for Samuelson equations. We finish with some applications to the general measurements theory and contact geometry.