Workshop // 12-14 July 2017 // Osnabrück
Infinity-Operads and Applications
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Suggested reading
Model categories: Introductions
• B. Dwyer and J. Spalinski, Homotopy theories and model categories, Handbook of Algebraic Topology (1995).
• A. Joyal, Appendix E of The theory of quasi-categories and its applications, lectures at CRM Barcelona (2008).
• J. Lurie, Appendix A.2 of Higher Topos theory, Princeton University Press, Princeton (2009).
Model categories: Monographs
• M. Hovey, Model Categories, Mathematical Surveys and Monographs, Volume 63, AMS (1999).
• P. H. Hirschhorn, Model Categories and Their Localizations, AMS Math. Survey and Monographs Vol 99 (2002).
∞-categories: Introduction (including monoidal ∞-categories)
• M. Groth, A short course on ∞-categories, arXiv:1007.2925.
∞-categories: Monographs
• A. Joyal, The theory of quasi-categories and its applications, lectures at CRM Barcelona (2008).
• J. Lurie, Higher Topos theory, Princeton University Press, Princeton (2009).
• J. Lurie, Higher Algebra (2016).
Operads: Introduction
• B. Vallette, Algebra+Homotopy=Operad, "Symplectic, Poisson and Noncommutative Geometry", MSRI Publications 62 (2014), 101-162.
Operads: Monographs
• I. Kriz and P. May, Operads, algebras, modules and motives, Astérisque 233, Société Mathématique de France (1995).
• M. Markl, S. Shnider and J. D. Stasheff, Operads in algebra, topology and physics, Math. Surveys and Monographs 96, Amer. Math. Soc. (2002).
• J.-L. Loday and B. Vallette, Algebraic operads, Grundlehren der mathematischen Wissenschaften, Volume 346, Springer-Verlag (2012).
• B. Fresse, Modules over operads and functors, Springer LNM 1967 (2009).
Goodwillie Calculus: Introductions
• N. Kuhn, Goodwillie towers and chromatic homotopy: an overview, Geom. Topol. Monogr. 10 (2007) 245-279.
• J. Lurie, section 7 of Higher algebra (2016).
Goodwillie Calculus: Foundational papers
• T. Goodwillie, Calculus I, The first derivative of pseudoisotopy theory, K-Theory 4 (1990), no. 1, 1-27.
• T. Goodwillie, Calculus II, Analytic functors, K-Theory 5 (1991/92), no. 4, 295-332.
• T. Goodwillie, Calculus III, Taylor series, Geom. Topol. 7 (2003), 645-711.
Dendroidal sets: Foundational paper and lectures
• I. Moerdijk and I. Weiss, Dendroidal Sets , Algebr. Geom. Topol. 7, (2007), 1441-1470.
• I. Moerdijk, Lectures on dendroidal sets, (notes by J. Gutiérrez), CRM Barcelona (2007).
• D.-C. Cisinski and I. Moerdijk, Dendroidal Segal spaces and ∞-operads, Journal of Topology 6.3 (2013), 675-704.
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