Beyond p-compact groups

The University of Copenhagen

January 28-February 3, 2008

Organizers: Kasper Andersen and Jesper Grodal

External Participants:
  • Kasper Andersen (Aarhus). Jan 28- Feb 8, 2008.
  • Tilman Bauer (Muenster). Jan 30 - Feb 8, 2008.
  • Carles Broto (Barcelona). Jan 27- Feb 4, 2008.
  • Natalia Castellana (Barcelona). Jan 27 - Feb 4, 2008.
  • Jerome Scherer (Barcelona). Jan 27 - Feb 4, 2008.
  • Iver Ottosen (Aalborg). Jan 27 - Feb 1, 2008. 

    All talks in Aud 7 . The visitors office 4.01 will be used for informal gatherings.

    1. Monday Jan 28, 2008, 13:15-15 "Loop groups and Kac-Moody groups" (Kasper Andersen+Jesper Grodal) What is a Kac-Moody group? What is a loop group? What general structural properties do they have?
    Literature: S. Kumar: Kac-Moody Groups, their Flag Varieties and Representation Theory Pressley & Segal: Loop groups Section 2 of Nitu Kitchloo's paper "Dominant K-theory.." arXiv:0710.0167 Kac: Infinite dimensional Lie algebras
    Notes for part I
    Notes for part II

    2. Tuesday Jan 29, 2008, 10:15-12 "The cohomology of Kac-Moody groups and their classifying spaces"(Carles Broto)
    Literature: Broto+Kitchloo: "Classifying Spaces of Kac-Moody Groups" Math. Z. 240 (2002), no. 3, 621--649.

    3.Wednesday Jan 30, 2008, 10:15-12 "p-Noetherian groups" (Natalia Castellana+Jerome Scherer) About the recent results of Castellana-Crespo-Scherer.
    Literature: Preprint not available yet, but see "Deconstructing Hopf spaces", Invent. Math. 167 (2007), no. 1, 1--18 for related results.
    Notes for part I
    Notes for part II

    4. Thursday Jan 31, 2008, 13:15-15 "String topology of classifying spaces" (Nathalie Wahl) This talk would be going through the recent paper of Chataur-Minichi where they study the free loop space of a finite loop space or p-compact group.
    Literature: Chantaur-Minichi "String topology of classifying spaces".

    5. Friday Feb 1, 2008, 10:15-12 "K(n)-compact groups" (Tilman Bauer)
    What is a K(n)-compact group? What are the examples? What are the hopes and conjectures? What happens for K(1)?