**Dynamical zeta functions, Nielsen theory and Reidemeister torsion**

The study of dynamical zeta functions is part of the theory of dynamical
systems, but it is also intimately related to algebraic geometry, number
theory, topology and statistical mechanics. In the talk I will discuss
dynamical zeta functions connected with Nielsen fixed point theory and
describe congruences for the Reidemeister and Nielsen numbers. I will explain
how dynamical zeta functions give rise to the Reidemeister torsion, an
important topological invariant which has useful applications in knot theory,
quantum field theory and dynamical systems.

*Alexander Fel'shtyn*

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