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. 

Speakers:

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

Please also see our calendar for individual announcements of talks.

Organizer: John Foley

Participants:

  • 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.