## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** A Segal conjecture for p-completed classifying spaces

**Speaker:** Professor Kari Ragnarsson

**Speaker Info:** Northwestern University

**Brief Description:**

**Special Note**:

**Abstract:**

As was predicted by Adams and Miller, and shown by
Lewis-May-McClure, one consequence of Carlsson's solution of the Segal
conjecture is the description of the group {BG,BH} of homotopy classes of
stable maps between classifying spaces of finite groups G and H as the
completion of A(G,H) at the augmentation ideal I(G) of the Burnside ring
A(G). (Here A(G,H) denotes the Grothendieck group completion of the monoid
of isomorphism classes of finite (G x H)-sets such that the induced
H-action is free, and A(G) can be regarded as the special case where H is
the trivial group.) Unfortunately such completions are very difficult to
calculate in general. However, Lewis-May showed that in the special case
where G is a p-group, I(G)-adic completion agrees with p-adic completion

**Date:** Monday, September 25, 2006

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Prof. Paul Goerss

**Contact email:** pgoerss@math.northwestern.edu

**Contact Phone:** 847-491-8544

Copyright © 1997-2024
Department of Mathematics, Northwestern University.