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$E_{\infty}$-coalgebras and $p$-adic homotopy theory

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Speaker: 
Tom Bachmann
Zugehörigkeit: 
Johannes-Gutenberg-Universität Mainz
Datum: 
Fre, 15/11/2024 - 09:30 - 10:30
Location: 
MPIM Lecture Hall

We prove that taking "chains with coefficients in an separably closed field k of characteristic p" induces a fully faithful functor from p-complete, nilpotent spaces to $E_{\infty}$ -coalgebras over k. This removes finiteness assumptions from a theorem of Mandell. (jt. with Robert Burklund).

 

 

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