A Primer on Zeta Functions and Decomposition Spaces
arXiv:2011.13903
Abstract
Many examples of zeta functions in number theory and combinatorics are special cases of a construction in homotopy theory known as a decomposition space. This article aims to introduce number theorists to the relevant concepts in homotopy theory and lays some foundations for future applications of decomposition spaces in the theory of zeta functions.
arXiv comment28 pages; referee comments incorporated; version to appear in LMS Lecture Notes Series