Research Group in Algebraic Topology

Models for infinity-categories

Several approaches will be studied for the foundations of higher category theory, including quasicategories, topological categories, simplicial categories, complete Segal spaces, Segal categories, A-categories, and weak ω-categories. The corresponding model for ∞-groupoids and Grothendieck's homotopy hypothesis will be discussed in each context.
  • Javier J. Gutiérrez (UB): Homotopy coherent nerve of topological categories

    18 October 2021, 12:00, IMUB

  • David Martínez (UB): Grothendieck's homotopy hypothesis

    25 October 2021, 12:00, IMUB

    [ Notes for this talk ]
  • Carles Casacuberta (UB): Complete Segal spaces and simplicial presheaves over Theta

    8 November 2021, 12:00, IMUB

  • Carles Casacuberta (UB): Globular theories

    15 November 2021, 12:00, IMUB

  • Bashar Saleh (UB): Globular operads and weak ω-categories

    22 November 2021, 12:00, IMUB

  • David Martínez (UB): Infinity-groupoids associated with Martin-Löf types

    29 November 2021, 12:00, IMUB

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