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)