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 Homotopie 2

Preprints

• (with Manuel Krannich and Alexander Kupers) Two remarks on spaces of maps between operads of little cubes (last update 7 November 2022).
• Binomial rings and homotopy theory (last update 7 November 2022).
• (with Martin Palmer) Motivic homological stability of configuration spaces, (last update 21 September 2022). To appear at Bulletin of the LMS.
• Automorphisms of the little disks operad with p-torsion coefficients, (last update, 7 August 2019).

Published papers

• (with Joana Cirici) Étale cohomology, purity and formality with torsion coefficients , Journal of Topology, Vol. 15, Issue 4 (2022), pp. 2270-2297, Journal version.
• (with Gabriel Drummond-Cole) Homotopy transfer and formality, Annales de l'Institut Fourier, Vol.71, no.5, pp.2079-2116, Journal version.
• (with Maxime Ramzi) A multiplicative comparison of MacLane homology and topological Hochschild homology, Annals of K-theory, Vol. 6 (2021), No. 3, pp. 571-605 , Journal version.
• (with Pedro Boavida de Brito) On the formality of the little disks operads in positive characateristic, Journal of the London Mathematical Society, Volume 104, Issue 2 (2021), pp. 634-667, Journal version.
• (with Pedro Boavida de Brito) Galois symmetries of knot spaces, Compositio Mathematica , Volume 157 , Issue 5 (2021), pp. 997-1021 , Journal version.
• (with Joana Cirici) Mixed Hodge structures and formality of symmetric monoidal functors, Annales Scientifiques de l'École Normale Supérieure, Vol. 53-4 (2020), pp. 1071-1104, Journal version.
• (with Pedro Boavida de Brito and Marcy Robertson) Operads of genus zero curves and the Grothendieck-Teichmüller group, Geometry & Topology, Vol. 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, published in 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)