“The Steenrod Problem”












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