A filtered Koszul duality of partition Lie algebras(-oids)

Abstract: Partition Lie algebras are sophisticated algebraic objects introduced by Brantner–Mathew to control infinitesimal deformations in positive characteristics. This talk will present a Koszul duality between partition Lie algebras and specific complete filtered derived rings. This duality helps to understand the homotopy operations on partition Lie algebras. Additionally, a “many-object” version of this duality connects partition Lie algebroids with infinitesimal derived foliations in the sense of Toën–Vezzosi.

mathematical physicsalgebraic topologycategory theory

Audience: researchers in the topic

Topology and Geometry Seminar (Texas, Kansas)