p-local compact groups – University of Copenhagen


Masterclass on

The theory of p-local compact groups

October 7-11, 2013

Content: Carles Broto, Ran Levi and Bob Oliver will give a coordinated exposition of p-local finite and p-local compact groups:

  • Bob Oliver: three lectures with emphasis on p-local finite groups
  • Carles Broto: three lectures with emphasis on p-local compact groups
  • Ran Levi: one lecture on Adams operations

There will be additional related talks on topics including geometric constructions of p-local finite groups and a motivational surveys of p-compact groups and p-local methods for finite groups.  Lectures will be supplemented by exercise and disscussion sessions.  See schedule page for NOTES.


  • Carles Broto
  • Jesper Grodal
  • Ellen Henke
  • Ian Leary
  • Ran Levi
  • Bob Oliver
  • Nora Seeliger

A tentative schedule as well as NOTES, etc. is available here

Please also see our calendar for individual announcements of talks.

Venue: Centre for Symmetry and Deformation, KU. For information how to get to the Department of Mathematical Sciences click here.

Social Activities: Please register for the excursion and dinner.  Though the masterclass will not be organizing any activities, we can recommend Culture Night Oct 11.

Registration and Funding: Registration is closed but please do register for the excursion and dinner.

Accommodation: Participants are asked to book their own accommodation. We recommend Hotel 9 Små Hjem, which is pleasant and inexpensive and offers rooms with a kitchen.  The small Hotel Rye is also a good local option.  Other inexpensive alternatives are CabInn that has several locations in Copenhagen: the Hotel City (close to Tivoli), Hotel Scandivania (Frederiksberg, close to the lakes), and Hotel Express (Frederiksberg) are the most convenient locations; the latter two are 2.5-3 km from the math department. Somewhat more expensive - and still recommended - options are Hotel Nora and Ibsen's Hotel.

Organizer: John Foley


  • Carles Broto (Universitat Autònoma de Barcelona)
  • Tyrone Crisp (University of Copenhagen)
  • Dieter Degrijse (University of Copenhagen)
  • John Foley (University of Copenhagen)
  • Jesper Grodal (University of Copenhagen)
  • Ellen Henke (University of Copenhagen)
  • Martin Wedel Jacobsen (University of Copenhagen)
  • Isabelle Laude (University of Copenhagen)
  • Ian Leary (University of Southampton)
  • Ran Levi (University of Aberdeen)
  • Toni Lozano Bagén (Universitat Autònoma de Barcelona)
  • Julia C. Magnusson (University of Gothenburg, Sweden)
  • Rémi Molinier (Universite Paris 13)
  • Jesper Møller (University of Copenhagen)
  • Bob Oliver (Universite Paris 13)
  • Tomasz Prytuła (University of Copenhagen)
  • Sune Precht Reeh (University of Copenhagen)
  • Nora Seeliger (Australian National University)
  • Markus Szymik (University of Copenhagen)
  • Massimilian Ungheretti (University of Copenhagen)

Related references and links:

  • Aschbacher, M., Kessar, R. & Bob Oliver, B. (2011). Fusion Systems in Algebra and Topology, London Mathematical Society Lecture Note Series, Vol. 391
  • Broto, C., Levi, R. & Oliver, B. (2006). The theory of p-local groups:  a survey, Homotopy theory: relations with algebraic geometry, group cohomology, and algebraic K-theory, 51-84  Contemporary Math. 346, Amer. Math. Soc., Providence, RI, 2004
  • Broto, C., Levi, R. & Oliver, B. (2006). 'A geometric construction of saturated fusion systems'. Contemporary Mathematics, vol 399, pp. 11-40.
  • Broto, C., Levi, R. & Oliver, B. (2007). 'Discrete models for the p-local homotopy theory of compact Lie groups and p-compact groups'. Geometry & Topology, vol 11, pp. 315-427. 
  • Levi, R., Broto, C. & Oliver, B. (2011) An algebraic model for finite loop spaces, arXiv:1212.2033 
  • Levi, R., Broto, C. & Oliver, B. (in press). 'The rational cohomology of a p-local compact group'. Proceedings of the American Mathematical Society.
  • Grodal, Jesper (2010). The classification of p-compact groups and homotopical group theory. Proc. Intl. Congress of Mathematicians 2010 (Hyderabad, 2010), Volume II, 973–1001.
  • Junod, FA., Levi, R. & Libman, A. (2012). 'Unstable Adams operations on p-local compact groups'. Algebraic & Geometric Topology, vol 12, no. 1, pp. 49-74. 
  • Leary, Ian J. and Stancu, Radu (2007) Realising fusion systems. Algebra and Number Theory, 1, (1), 17-34.