Dynamics, Algebra, and Number Theory

Douglas Lind

Abstract.

These lectures will treat the interactions between algebraically defined dynamical systems and corresponding algebraic objects. This leads to a rich "dictionary", new problems, and fascinating connections. The main themes will include how algebraic varieties, both complex and p-adic, and their amoebas help to describe and analyse the dynamical properties of these algebraic systems.
Tentative List of Topics: