Volume 10 (2007)

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Toward a fundamental groupoid for the stable homotopy category

Jack Morava

Geometry & Topology Monographs 10 (2007) 293–317

DOI: 10.2140/gtm.2007.10.293

arXiv: math/0509001

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.

Keywords

Mathematical Subject Classification

Primary: 11G99, 19F99, 57R99, 81T99

References
Publication

Received: 28 May 2005
Revised: 9 July 2006
Published: 18 April 2007

Authors
Jack Morava
Department of Mathematics
Johns Hopkins University
Baltimore MD 21218
USA