Working seminar on p-compact groups

Organiser: Nora Ganter

Meeting on Thursdays 14:15 to 16:15 in Senior Theatre (room 370, 3rd floor, Chemistry building)

References:

  • J. M. Møller, Homotopy Lie groups: a survey, Bull. Amer. Math. Soc. (N.S.) 32 (1995), no. 4, pp 413-428, mathscinet review
  • A. Clark and J. Ewing, The realization of polynomial algebras as cohomology rings, Pacific J. Math. 50 (1974), pp 425-434, mathscinet review
  • D. P. Sullivan, Geometric topology: localization, periodicity and Galois symmetry, K-Monographs in Mathematics 8, Springer, 2005, mathscinet review
  • W. G. Dwyer and C. Wilkerson, Homotopy fixed-point methods for Lie groups and finite loop spaces, Ann. of Math. (2) 139 (1994), no. 2, pp 395-442, mathscinet review
  • W. G. Dwyer and H. Miller and C. Wilkerson, Homotopical uniqueness of classifying spaces, Topology 31 (1992), no. 1, pp 29-45, mathscinet review
  • T. Bauer, p-compact groups as framed manifolds, PhD thesis, MIT 2002

Schedule (the next meeting is in bold text):

  • Thursday, 30 July. Craig: Classifying spaces
  • Thursday, 6 August. Callum: Sullivan spheres
  • Thursday, 13 August. Natalie: Reflection groups
  • Thursday, 20 August. Arun: Why I care about p-compact groups
  • Thursday, 27 August. Nick: Definition of p-compact groups, morphisms, Rector's example, etc.
  • Thursday, 3 September. Max: Homotopy fixed point spaces, algebraic Smith theory
  • Thursday, 10 September. Alex: Centralisers (theorem: they are p-compact subgroups)
  • Thursday, 17 September. Matt: The existence of non-trivial elements
  • Thursday, 8 October. Yi: Maximal tori and Weyl groups
  • Thursday, 15 October. RV: Centres and semisimplicity
  • Thursday, 22 October. Lawrence and/or Nora and/or Alex: Classification I
  • Thursday, 29 October. Lawrence and/or Nora and/or Alex: Classification II