Workshop on Homology of Configuration Spaces and related topics

May 15th–17th 2023

Configuration spaces are classical objects in algebraic topology, but the study of their homotopy type remains a difficult question. The purpose of this conference is to bring together experts on that study, with a focus on the phenomenon known as homological stability. They will be invited to give talk about recent developments on the subject and we hope that the workshop will open up discussions about new avenues of research.

This three-day workshop will consist in talks from invited speakers and a mini-course on secondary stability. It will provide ample times for informal discussions.

Poster of the conference

Practical information


Dates: May 15th to May 17th 2023.

Download the above calendar in iCal format here. Each talk will be 50 minutes long, with 10 additional minutes for questions.


To register, please fill the following form: before April 3rd.

Registration is free, open to all, but mandatory if you wish to attend.


Street address: Campus Pierre et Marie Curie, 4 place Jussieu, 75006 Paris.

To get there, stop at the metro stop “Jussieu,” which is located on lines 7 and 10. Maps and timetables can be found here. There are also several bus stops nearby.

To takes the metro or the bus inside Paris itself, either buy individual t+ tickets (2.20€), or buy an “easy pass” (2€) and load it with tickets (2.10€/ticket or 16.90€/10 tickets). If you are taking public transportation from/to outside Paris proper, e.g., the airport, you need another (more expensive) kind of ticket that is valid only for a single route. Of course, you can also walk, use the city’s bike sharing offer Vélib (3€ for one trip, 20€ for a 3-day pass)… There are many options!

Map for the conference

Room: 15-16-101 (⚠️ different room than announced previously).

Once you have entered the campus, find either tower 15 or 16, climb the stairs up to the first floor, and enter the corridor 15-16 that connects the two towers to find room 101. Refer to the map below for the location.

Coffee breaks will be held in room 417, three floors above. Lunch will be at the brasserie L’Ardoise, also located in the Jussieu campus.


Andrea Bianchi (Copenhagen University)

Luciana Bonatto (MPIM Bonn)

Rachael Boyd (University of Glasgow)

Sophie d’Espalungue (Université Paris Cité)

Aurélien Djament (Université Sorbonne Paris Nord)

Finitude homologique des foncteurs sur une catégorie additive

Les foncteurs (non nécessairement additifs) d’une petite catégorie additive vers une catégorie de modules interviennent dans plusieurs parties de l’algèbre et de la topologie ; ils forment une catégorie abélienne aux bonnes propriétés, notamment homologiques. Les calculs connus de groupes d’extensions entre tels foncteurs donnent ainsi accès à certains groupes de cohomologie stable de groupes linéaires à coefficients tordus. Dans cet exposé, nous nous intéresserons à des propriétés homologiques qualitatives des foncteurs, notamment l’existence de résolutions projectives de type fini. Nous présenterons des résultats démontrés récemment avec A. Touzé, qui fournissent de vastes généralisations de théorèmes obtenus par L. Schwartz, S. Betley et T. Pirashvili au début des années 1990. Ils s’appuient notamment sur des techniques simpliciales à la Dold-Kan-Puppe et sur un théorème de structure pour les foncteurs à valeurs dans des espaces vectoriels de dimension finie établi avec A. Touzé et C. Vespa.

Louis Hainaut (Stockholm University)

Zachary Himes (University of Cambridge)

Secondary homological stability and periodic homological stability for unordered configuration spaces

Secondary homological stability is a recently discovered stability pattern for the homology of a sequence of spaces exhibiting homological stability in a range where homological stability does not hold. We prove secondary stability for unordered configuration spaces of manifolds. The main difficulty is the compact case (the non-compact case was previously known by some experts). In the compact case, there are no obvious stabilization maps and the homology does not stabilize but is periodic. We resolve this issue by constructing a chain-level stabilization map for configuration spaces of compact manifolds.

Geoffroy Horel (Université Sorbonne Paris Nord)

Manuel Krannich (Karlsruhe Institute of Technology)

Dan Petersen (Stockholm University)

Geoffrey Powell (Université d’Angers)

Oscar Randal-Williams (University of Cambridge)

Homological stability via higher algebra (mini-course)

Claudia He Yun (MPI MiS Leipzig)

Registered participants

Click here for the list of registered participants.
  1. Hossein Abbaspour (Université de Nantes)
  2. Alexis Aumonier (University of Copenhagen)
  3. Djament Aurélien (CNRS)
  4. Christian Ausoni (Université Sorbonne Paris Nord)
  5. Etienne Batelier (WWU Muenster, NRW, Germany)
  6. Andrea Bianchi (Copenhagen University)
  7. Luciana Bonatto (MPIM Bonn)
  8. Rachael Boyd (University of Glasgow)
  9. Adrien Brochier (Université Paris Cité)
  10. Luigi Caputi (University of Torino)
  11. Emprin Coline (LAGA - ENS)
  12. Sophie D’Espalungue (Université Paris Cité)
  13. Marie-Camille Delarue (Université Paris-Cité)
  14. Pierre Elis (University of Copenhagen)
  15. Antoine Feltz (University of Strasbourg)
  16. Vincent Franjou (Nantes Université)
  17. Nir Gadish (The University of Michigan)
  18. Thomas Gaujal (Université de Lille )
  19. Lorenzo Guerra (Università di Roma Tor Vergata)
  20. Yves Guiraud (INRIA, Université Paris Cité)
  21. Louis Hainaut (Stockholm University)
  22. Lander Hermans (University of Antwerp)
  23. Zachary Himes (University of Cambridge)
  24. Eric Hoffbeck (Université Sorbonne Paris Nord)
  25. Geoffroy Horel (Université Sorbonne Paris Nord)
  26. Najib Idrissi (Université Paris Cité)
  27. Hyeonhee Jin (MPIM Bonn)
  28. Florian Kranhold (Karlsruhe Institute of Technology)
  29. Manuel Krannich (Karlsruhe Institute of Technology)
  30. Christian Kremer (Max Planck Institute for Mathematics Bonn)
  31. Guillaume Laplante-Anfossi (University of Melbourne)
  32. Erik Lindell (Stockholm University)
  33. Muriel Livernet (université paris cité)
  34. João Lobo Fernandes (Karlsruhe Institute for Technology)
  35. Jean-Pierre Magnot (université d’Angers)
  36. Zhouhang Mao (Institut Mathématique d’Orsay)
  37. Verstraete Marvin (Université de Lille)
  38. Jan McGarry Furriol (Stockholm University)
  39. Fadi Mezher (University of Copenhagen)
  40. Samuel Muñoz Echániz (University of Cambridge)
  41. François Métayer (IRIF)
  42. Fauvette Nathan (Université Paris Cité)
  43. Dan Petersen (Stockholm University)
  44. Azélie Picot (ENS )
  45. Andrea Pizzi (University of Rome ‘Tor Vergata’)
  46. Hugo Pourcelot (Université Sorbonne Paris Nord)
  47. Geoffrey Powell (Université d’Angers)
  48. Francesca Pratali (Université Sorbonne Paris Nord)
  49. Oscar Randal-Williams (University of Cambridge)
  50. Tommaso Rossi (Università di Roma Tor Vergata)
  51. Ismael Sierra (University of Cambridge)
  52. Christopher-Lloyd Simon (The Pennsylvania State University)
  53. Arthur Soulié (IBS-CGP)
  54. Andreas Stavrou (University of Cambridge)
  55. Robin Stoll (Stockholm University)
  56. Daniel Tanré (Université de Lille)
  57. Bruno Vallette (Université Sorbonne Paris Nord)
  58. Christine Vespa (Aix-Marseille Université)
  59. Nicholas Wawrykow (University of Michigan)
  60. Leo Yoshioka (Graduate School of Mathematical Sciences, The University of Tokyo)
  61. Claudia Yun (MPI MiS Leipzig)

This list is updated manually. If you registered recently, it may not be reflected here yet.



This workshop is possible thanks to the support of the ANR project “Structure and Homotopy of Configuration Spaces” (SHoCoS), the Institut de Mathématiques de Jussieu, Université Paris Cité, and Sorbonne Université.