Bousfield-Kan Completion as a Codensity ∞-Monad

Explore the mathematical concept of Bousfield-Kan completion through the lens of codensity ∞-monads in this hour-long conference talk presented by Sergei O. Ivanov at BIMSA's ICBS2025. Delve into advanced topics in algebraic topology and higher category theory as the speaker examines the relationship between Bousfield-Kan completion and codensity monads in the context of infinity categories. Gain insights into how this completion process can be understood as a specific type of codensity monad, providing a new perspective on this fundamental construction in homotopy theory and its applications in modern algebraic topology.