### Dynamical zeta functions counting triangles and Betti numbers

Ergodic Theory and Dynamical Systems Seminar

8th June 2023, 1:00 pm – 2:00 pm

Fry Building, 2.04

In this talk, I will present recent results concerning special values of certain combinatorial zeta functions counting geodesic paths in triangulations. I will show that those values are related to some topological invariants. As such, we recover the first Betti number or L^2-Betti number of a compact manifold, as well as the linking number of knots in a 3-manifold. This is a joint work with Léo Bénard, Viet Dang and Thomas Schick.

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