Topology and Geometry Seminar

Location: Livestream on Zoom

Speaker: Adela YiYu Zhang, University of Copenhagen

Title: Universal differentials in the bar spectral sequence

Zoom Link: https://uregina-ca.zoom.us/j/97896109097?pwd=RkI2UkZsMlYyZTBzejhEY1R4RCt4Zz09

Abstract:  

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.

This event is supported by PIMS.