## UBC Topology Seminars: Inna Zakharevich

• Date: 10/18/2017
• Time: 15:15
Lecturer(s):
Inna Zakharevich, Cornell University
Location:

University of British Columbia

Topic:

Deriving zeta functions

Description:

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.

Other Information:

Location: ESB 4133 (PIMS Lounge)