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Toward a fundamental groupoid for the stable homotopy category

Jack Morava
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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.

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Jack Morava. 2009-03-27. Toward a fundamental groupoid for the stable homotopy category. https://doi.org/10.2140/gtm.2007.10.293

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