Toward a fundamental groupoid for the stable homotopy category

Abstract

This very speculative sketch suggests that a theory of fundamental groupoids for tensor triangulated categories could be used to describe the ring of integers as the singular fiber in a family of ring-spectra parametrized by a structure space for the stable homotopy category, and that Bousfield localization might be part of a theory of `nearby' cycles for stacks or orbifolds.

This is the version published by Geometry & Topology Monographs on 18 April 2007