seminar

Speaker: Akira Kono

Date: Monday, March 15, 2010

Time: 16:15

Location:

Title: Connecting maps of evaluation fibrations

Abstract

We consider the evaluation fibration sequence: Omega Y --d--> map.(X,Y) --> map(X,Y) --> Y. The connecting map d is quite improtant, for example, in detecting the homotopy types of connected components of map(X,Y). I will explicitely describe the connecting map d by the coadjoint action of G, when Y is the classifying space of a topological group G.

seminar

Speaker: Naoko Kunugi

Date: Thursday, March 18, 2010

Time: 15:00

Location:

Title: Scott modules and equivalences between blocks of finite groups

Abstract

seminar

Speaker: Anton Evseev

Date: Thursday, March 18, 2010

Time: 16:15

Location:

Title: The McKay Conjecture and Brauer's induction theorem

Abstract

Let G be a finite group and H be the normalizer of a Sylow p-subgroup of G. The McKay conjecture, which has been open for more than 30 years, states that G and H have the same number of irreducible characters of degrees not divisible by p (i.e. of p'-degrees). The conjecture has been refined in several directions. In particular, a version due to Isaacs and Navarro suggests the existence of a correspondence between irreducible character degrees of G and of H modulo p and up to sign, if one considers only characters of p'-degree. The talk will present a possible new refinement, which implies the Isaacs—Navarro conjecture as well as Alperin's "block" version of the McKay conjecture.