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Universal differentials in the bar spectral sequence

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Speaker: 
Adela Zhang
Affiliation: 
University of Copenhagen
Date: 
Mon, 11/11/2024 - 14:00 - 15:00
Location: 
MPIM Lecture Hall

The synthetic analogue of the bar comonad controls the universal differentials in the bar spectral sequence of algebras over spectral operads. This can be viewed as a deformation of Koszul duality for such algebras. I will explain ongoing work with Burklund and Senger on identifying the universal differentials in the bar spectral sequence for spectral Lie algebras over $F_p$. This will also shed light on the mod p homology of labeled configuration spaces and $E_n$-Dyer-Lashof operations for Lubin-Tate theories via a theorem of Knudsen.

 

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