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Given a dynamical system, I will explain a way to enumerate its periodic orbits using ideas from algebraic topology. The expression we give turns out to be related to an important invariant of high dimensional spaces: the Reidemeister torsion. Time permitting, I will explain how a generalization of these concepts gives rise to an invariant for parametrized families of dynamical systems. (I will attempt to make this talk gentle; the essential prerequisite should be working knowledge of linear algebra). Host: Nikolai Sinitsyn, T-4: PHYS OF CONDENSED MATTER, nsinitsyn@lanl.gov |