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Modes, Ambidexterity and Chromatic homotopy.

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HHHW03 - Derived algebraic geometry and chromatic homotopy theory

Spectra can be considered as the universal presentable stable 00-category, similarly Set can be considered as the universal presentable 1-category and pointed spaces can be considered as the universal pointed presentable. More generally some properties of presentable 00-categories can be classified as equivalent to being a module over a universal symmetric monoidal 00-category. We call such universal symmetric monoidal 00-category “Modes”. We describe certain facts about the general theory of modes and present how one can generate new ones from old ones.

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

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