The moduli space of topological realisations of an unstable coalgebra

The moduli space of topological realisations of an unstable coalgebra

Mon, 13/05
15:45 		George Raptis (Osnabrueck) Topology Seminar Add to calendar L3
The moduli space of topological realisations of an unstable coalgebra
The mod p homology of a space is an unstable coalgebra over the Steenrod algebra at the prime p. This talk will be about the classical problem of realising an unstable coalgebra as the homology of a space. More generally, one can consider the moduli space of all such topological realisations and ask for a description of its homotopy type. I will discuss an obstruction theory which describes this moduli space in terms of the André-Quillen cohomology of the unstable coalgebra. This is joint work with G. Biedermann and M. Stelzer.