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Cyclotomic spectra and Cartier modules

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HHHW02 - Equivariant and motivic homotopy theory

We start by reviewing the notion of cyclotomic spectra and basic examples such as THH . Then we introduce the classical algebraic notion of an (integral, p-typical) Cartier module and its higher generalization to spectra (topological Cartier modules). We present examples such as Witt vectors and K-theory of endomorphisms. The main result, which is joint work with Ben Antieau, is that there is a close connection between the two notions.

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

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