Geoffroy Horel

Maître de conférences à l'Université Paris 13.

E-mail:: h_o_r_e_l@math.univ-paris13.fr (ignore the underscores)

Adresse:: Institut Galilée, Université Paris 13, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse, France.

Cours de topologie algébrique, ENS

Notes de cours. Ces notes seront mises à jours régulièrement en fonction de l'avancement du cours. Si vous trouvez une erreur, merci de me le signaler. (dernière mise à jour : 16 Mai 2019).
Sujet du partiel avec corrections.
Sujet de l'examen final avec corrections.
Les TD sont assurés par Salim Tayou.

Membre des projets ANR SAT, ChroK et PerGAMo ainsi que du GDR Topologie algébrique et applications.

Preprints

My preprints are also available on arXiv. The most up-to-date versions are on this website.

Automorphisms of the little disks operad with p-torsion coefficients, (last update, 7 August 2019).
(with Gabriel Drummond-Cole) Homotopy transfer and formality, (last update, 8 June 2019).
(with Pedro Boavida de Brito) On the formality of the little disks operads in positive characateristic, (last update 21 March 2019)
(with Joana Cirici) Étale cohomology, purity and formality with torsion coefficients , (last update 8 June 2017).
(with Joana Cirici) Mixed Hodge structures and formality of symmetric monoidal functors, to appear in Annales Scientifiques de l'École Normale Supérieure, (last update 6 Novembre 2018).

Published papers

(with Pedro Boavida de Brito and Marcy Robertson) Operads of genus zero curves and the Grothendieck-Teichmüller group, Geometry & Topology 23-1 (2019), pp. 299--346. Journal version.
(with Clément Dupont) On two chain models for the gravity operad, Proc. Amer. Math. Soc. 146 (2018), pp. 1895–1910. Journal version.
Profinite completion of operads and the Grothendieck-Teichmüller group, Advances in Math. Vol. 321, (2017), pp. 326–390. Journal version.
Factorization homology and calculus à la Kontsevich Soibelman, Journal of Noncommutative Geometry, Vol. 11, No. 2 (2017), pp. 703–740. Journal version.
(with Ilan Barnea and Yonatan Harpaz) Pro-categories in homotopy theory, Algebraic & Geometric Topology, Vol. 17 (2017), pp. 567–643. Journal version
(with Giovanni Caviglia) Rigidification of higher categorical structures, Algebraic & Geometric Topology, Vol. 16 (2016), pp. 3533–3562. Journal version.
Brown categories and bicategories, Homology, Homotopy and Applications, Vol. 18 (2016), No. 2, pp. 217–232. Journal version.
Motivic homological stability for configurations spaces of the line, Bull. London Math. Soc. 48 (2016) pp. 601–616. Journal version. (The main theorem of this paper is incorrect, here is an Erratum)
Higher Hochschild cohomology of the Lubin-Tate ring spectrum , Algebraic & Geometric Topology, Vol. 15 (2015), pp. 3215–3252. Journal version
A model structure on internal categories in simplicial sets, Theory and Applications of Categories, Vol. 30, No. 20, 2015, pp. 704-750. Journal version.

Miscellaneous writings

Groupe de Galois et espace des noeuds (last update, 14 December 2018) In French, to appear in the "Actes du congrès de la SMF 2018".
A note on p-completion of spectra (last update, 13 April 2016) This is now part of the paper Automorphisms of the little disks operad with p-torsion coefficients.
The homotopy theory of A-infinity categories (last update, 14 March 2015)