Title: Toward a fundamental groupoid for tensor triangulated categories
Author: Jack Morava, jack@math.jhu.edu
AMS classification: 11G, 19F, 57R, 81T
Abstract: Notes for a talk at the conference on arithmetic of structured
ring spectra; Rosendal, Norway, August 19 - 28 2005:
This very speculative talk 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.