Markus Hausmann: Symmetric products and subgroup lattices
Time: Tue 2017-01-24 13.15 - 15.00
Location: Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University
Participating: Markus Hausmann (University of Copenhagen)
ABSTRACT: Let G be a finite group. In this talk I will discuss a relationship between symmetric products of G-representation spheres and the subgroup lattice of G. More concretely, it turns out that the rational homotopy groups of the symmetric products of the G-sphere spectrum are naturally isomorphic to the rational homology groups of certain subcomplexes of the subgroup lattice, which in many cases allows an explicit computation of the former.