URegina Topology and Geometry Seminar: Adela YiYu Zhang

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 of 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 $\mathbb{F}_p$. This will also shed light on the mod $p$ homology and Lubin–Tate theory of labeled configuration spaces via a theorem of Knudsen.