Little Cube Algebras and Factorisation Homology

We are following Harpaz's notes, available here.

1. Andres: 1–16
   • Introduction
   • Two models for $(\infty,1)$-categories
   • Constructions of $\infty$-categories
2. Severin: 16–30
   • Left and right fibrations
   • Cartesian and cocartesian fibrations
3. Charles: 30–39
   • The relative nerve
   • Limits and colimits in $\infty$-categories
   • Kan extensions
4. William: 39–50
   • Introduction [to symmetric monoidal $\infty$-categories]
   • Examples and constructions
   • Cartesian and cocartesian symmetric monoidal structures
5. Andres: 50–58
   • From colored operads to $\infty$-operads
6. Severin: 58–69
   • Weak $\infty$-operads and approximations
   • Tensor products of $\infty$-operads
7. Charles: 69–79
   • Definitions and basic properties [of the little cube $\infty$-operads]
   • Dunn's additivity theorem
8. William: 79–88
   • May's recognition principle
9. —: 88–103
   • Manifolds and framings
   • Little cube algebras with tangent structures
10. —: 103–115
    • Little cube algebras over manifolds
    • Factorization homology
    • Axiomatic characterisation of factorization homology