Quid Seminar

par M. Jiaqi Fu (Université de Toulouse)

mercredi 13 mai 2026, 18:00 → 20:00 Europe/Paris

Salle Pellos,207 (IMT,1R2)

An Eclair of non-abelian derived category.

Short: Nonabelian derived category is a formal language spoken by both homotopists and

algebraic geometers.

Long: Nonabelian derived category is a common language shared by modern algebraic topologists

and algebraic geometers. I will provide a somehow messy but juicy introduction (like an ´eclair

!) to this framework by discussing the following questions: what exactly is a nonabelian derived

category (following Quillen, Lurie, and others) ? Why does it appear so naturally in both homotopy

theory and algebraic geometry? And, putting aside many misplaced criticisms, how does this sort of

“abstract nonsense” contribute to actual computation ? I will also mention a small result of me and

Nuiten concerning a kind of “dual analogue” of Steenrod operations.