topology@ub

Research Group in Algebraic Topology

Reading group on infinity categories

    • Joachim Kock (UAB): Infinity categories

      19 October 2016, 10:30, IMUB

    • Alex Cebrian (UAB): Quillen model categories

      26 October 2016, 11:00, CRM

    • Mikel Lluvia (UB): Basics on ∞-categories

      2 November 2016, 10:30, IMUB

    • Javier Gutiérrez (UB): Models for ∞-categories

      9 November 2016, 10:30, IMUB

    • Louis Carlier (UAB): Join, slice, limits and colimits

      16 November 2016, 11:00, CRM

    • Joachim Kock (UAB): Cartesian fibrations and adjunctions

      23 November 2016, 11:00, CRM

    • Agustí Roig (UPC): Factorisation systems and localisations

      30 November 2016, 10:30, IMUB

    • Andy Tonks (Leicester): Leftovers

      7 December 2016, 10:30, IMUB

    References
    [1] O. Antolín Camarena, A whirlwind tour of the world of ∞-categories, arXiv:1303.4669v3.
    [2] D.-C. Cisinski, Catégories supérieures et théories des topos, Séminaire Bourbaki 67ème année (2014-2015), Exp. No. 1097, Astérisque 380 (2016), 263-324.
    [3] M. Groth, A short course on ∞-categories, arXiv:1007.2925v2.
    [4] A. Joyal, Quasi-categories and Kan complexes, J. Pure Appl. Algebra 175 (2002), no. 1-3, 207-222.
    [5] A. Joyal, The theory of quasi-categories and its applications, Quaderns CRM 45, available from http://mat.uab.cat/~kock/crm/hocat/advanced-course/Quadern45-2.pdf.
    [6] J. Lurie, Higher Topos Theory, Annals of Mathematics Studies 170, Princeton University Press, Princeton and Oxford, 2009.
    [7] J. Lurie, Higher Algebra, available from http://www.math.harvard.edu/~lurie/.
    [8] C. Rezk, Higher category theory and quasicategories, lecture notes available from https://faculty.math.illinois.edu/~rezk/595-fal16/quasicats.pdf.