Anders Karlsson: Connections between spectral zeta functions of graphs and spaces

Date: 2023-06-09

Time: 09:30 - 10:30

Zoom link:


Anders Karlsson, University of Geneva and Uppsala University


The most classical zeta and L functions in number theory are spectral zeta functions of tori (with twists). Tori can be approximated by finite torus graphs, which have spectral zeta functions in perfect analogy. Also infinite regular graphs are of interest. I will explain some relationships between these continuous and discrete zeta functions. It turns out that they have closer connections than one would perhaps think. It will concern asymptotics, functional equations, Riemann hypotheses, special values and their appearances for example in volume formulas (the Riemann zeta function for spaces of lattices and the zeta function of Z for spheres.)