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Hadrian Heine (Osnabrück): Algebraic models of p-adic homotopy types

Abstract: In this talk I will recall Mandell's theorem classifying connected p-complete nilpotent spaces of finite p-type by E_infty-algebras over the algebraic closure of the field with p-elements. After that I will discuss a variant of Mandell's theorem via E_infty-coalgebras, which is joint work in progress with Manfred Stelzer.