UBC Topology Seminars: Inna Zakharevich

The local zeta function of a variety $X$ over a finite field $F_q$ is defined to be $$Z(X,t) = \exp\sum_{n > 0}\frac{|X(F_{q^n})|}{n}.$$ This invariant depends only on the point counts of $X$ over extensions of $F_q$. We discuss how $Z(X,t)$ can be considered as a group homomorphism of $K$-groups and show how to lift it to a map between $K$-theory spectra.