56 KAM Mathematical Colloquium

Klaus Schmidt

University of Vienna

DYNAMICAL SYSTEMS ARISING FROM ALGEBRA


May 26, 2005 Lecture Room S4, Charles University, Malostranske nam. 25, 118 00 Praha 1 1 14:15 AM

Abstract

Automorphisms of finite-dimensional tori have played an important role in ergodic theory, especially in the development of notions like hyperbolicity and entropy. On the other hand, toral automorphisms are intimately linked with algebraic number fields, and the latter connection has led to some very interesting links between dynamics, arithmetic and commutative algebra in the theory of algebraic Z^d-actions.