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Geometrization of chromatic homotopy theory

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HHHW06 - HHH follow on: Homotopy: fruit of the fertile furrow

Geometrically, the chromatic filtration on the stable homotopy category can be interpreted as the decomposition of the category of quasicoherent sheaves on the moduli stack of 1-dimensional, commutative formal group laws in terms of the height filtration. The purpose of this talk to propose an alternative geometric model for the chromatic filtration, in terms of the Harder-Narasimhan stratification on a moduli stack of vector bundles on the Fargues-Fontaine curve. Warning: portions of this talk will be speculative.

This talk is part of the Isaac Newton Institute Seminar Series series.

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