**ALGEBRAIC
TOPOLOGY SEMINAR**

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The Steenrod Problem

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ASLI GÜÇLÜKAN

__Abstract:__ In 1960, Steenrod
posed the following problem: given a G-module M and an integer n>1, does
there exists a Moore space X of type (M,n) with G-action such that the n-th
homology of X is isomorphic to M as a G-module. When such a space exists,
the module M is said to be G-realizable. One of the results on this problem is
due to Ming-Li Chen. By using equivariant Postnikov tower, she shows that a G-module M is G-realizable
if and only if it is H-realizable for all p-Sylow subgroups
H, for all primes p||G|. In this talk, I will present
her result and give some background material on equivariant
Postnikov towers.

Date : October 26, 2009 (Monday)

Time : 13.40-14.30

Place: Bilkent, Mathematics Seminar Room
SA-141