Department of Mathematical Sciences > Research > Conferences > Beyond p-compact groups

Beyond p-compact groups The University of Copenhagen January 28-February 3, 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.
Notes

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 http://uk.arxiv.org/pdf/0801.0174.pdf where they study the free loop space of a finite loop space or p-compact group.
Literature: Chantaur-Minichi "String topology of classifying spaces". http://uk.arxiv.org/pdf/0801.0174.pdf
Notes

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)?
Notes