• Algebraic K-theory of quasi-smooth blow-ups and cdh descent
  • Damien Calaque on Factorization Algebras and Centralizers
  • Ieke Moerdijk on ∞-categories and ∞-operads
  • David Ayala: Higher categories are sheaves on manifolds
  • Lie Algebras and Homotopy Theory (Lurie)
  • Lurie: "Categorification of the Fourier Transform"
  • Mini seminar on factorization homology
  • Lectures on Factorization Homology, Infinity-Categories, and Topological Field Theories
  • Krause, Nikolaus course on topological cyclic homology
  • Lurie: Rotation Invariance in Algebraic K-theory
  • Foling Zou on nonabelian Poincare duality theorem in equivariant factorization homology
  • Characteristic classes mini-course by Arun Debray
  • Stratified spaces: Clark Barwick - 2/3 Exodromy for ℓ-adic Sheaves
  • Stefan Schwede: Global homotopy theory course
  • Workshop on "∞-categories and their applications"
  • Tangent ∞-categories and Goodwillie calculus
  • Workshop videos: Infinity-Categories, Infinity-Operads, and their Applications
    • Omar Antolín Camarena Thom ring spectra and orientation
    • Claudia Scheimbauer Dualizability in the factorization higher Morita category
    • Saul Glasman Some topics in stratified higher category theory
    • Hongyi Chu Enriched ∞-operads
  • Workshop videos: Equivariant Derived Algebraic Geometry
    • Clark Barwick Parametrized higher category theory and parameterized higher algebra
  • Abstract nonsense
    • Gepner: An Introduction to Higher Categorical Algebra
    • Cisinski explains why everything is enriched in homotopy types
    • A Liesurely Introduction to Simplicial Sets
    • Sheaves and Homotopy Theory (Dugger), Hypercovers and simplicial presheaves
    • A primer on homotopy colimits (Dugger)
    • Catégories supérieures et théorie des topos (Cisinski)
    • On Infinity Topoi (Lurie)
    • Topoi:
      • Toposes in Como (see Borceux, Lafforgue) Topos à l'IHES (see Anel, Joyal, Vaquié)
      • Virtual Workshop on Higher Topos Theory (November 20/21 2020)
      • Rezk: Lectures on Higher Topos Theory (Leeds, June 2019)
      • Rezk: Toposes and Homotopy Toposes
    • Category theory:
      • This is the (co)end, my only (co)friend
      • Category Theory in Context
      • Categorical homotopy theory
      • Elements of ∞-Category Theory
      • The Formal Theory of Adjunctions Monads Algebras and Descent Emily Riehl MSRI
      • A short course on ∞-categories (Moritz Groth)
      • Lax colimits and free fibrations in ∞-category theory
      • Yonatan Harpaz: Introduction to stable ∞-categories
  • Geometry:
    • The Rising Sea
    • Notes on algebraic stacks by Anatoly Pregel
    • Toën Master course on algebraic stacks
    • Rezk on spectral algebraic geometry
    • Structured Spaces (Lurie)
    • Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity Topoi
    • Derived Algebraic Geometry Winter School 2013
    • Ben-Zvi on geometric function theory
    • "Localizations of tensor categories and fiber products of schemes" (cool stuff about quasicoherent sheaves on fibre products)
    • Omar Antolín Camarena : Minicurso de geometría algebraica derivada
    • Adeel Khan's lecture notes:
      • Descent in algebraic K-theory 2017/2018
      • Grothendieck-Riemann-Roch theorem 2018
      • Descent in algebraic K-theory 2020
  • Other resource lists:
    • Tons of references on chromatic homotopy theory and neighbouring topics
    • Tyler Lawson's reference list for topological modular forms
    • Doug Ravenel's archive
    • Videos on Dan Isaksen's Youtube channel