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Cyclotomic spectra and Cartier modules

Presented by: 
Thomas Nikolaus Universität Münster
Date: 
Friday 17th August 2018 - 14:30 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons