This talk has two parts: First we discuss local limits of finite graph sequences (Benjamini-Schramm convergent sequences ) and how they can be interpreted as very large measurable graphs equipped with a probability measure (so-called graphings).   In the second part we introduce Ihara's Zeta function for measurable graphs. We show convergence along locally convergent graphs sequences and interpret the limit as Zeta function on the graphing.

海报