Affiliation: Pennsylvania State University
Title Of Talk: Combinatorial zeta and L-functions
Abstract: Zeta functions are counting functions in nature. For instance the Dedekind zeta function for a number field counts integral ideals, the zeta function for a variety defined over a finite field counts solutions in finite extensions of the base field, while the Selberg zeta function counts closed geodesics in a compact Riemann surface. In this talk we shall discuss the analogue of zeta and L-functions in combinatorial setting, that is, attached to graphs and higher dimensional simplicial complexes. Similarities and dissimilarities between number theoretic and combinatorial zeta functions will also be compared.
Last update made Fri Jan 29 12:39:05 PST 2016.