# Michael Weiss: Configuration space methods applied to automorphism groups of spheres

**Time: **
Thu 2022-03-10 14.15 - 16.00

**Location: **
Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

**Video link: **
Meeting ID: 921 756 1880

**Participating: **
Michael Weiss (University of Münster)

**Abstract:** The plan is to make some useful homotopical computations in spaces such as \(\mathrm{TOP}(n)/\mathrm{O}(n)\), which is important in smoothing theory, or the closely related structure space of the *n*-sphere, \(G(n+1)/\mathrm{TOP}(S^n)\). The method is to ask how (or whether) topological automorphisms or homotopy automorphisms of a sphere act on configurations of very low cardinality in the sphere. It is an old-fashioned investigation, but there are some connections to functor calculus in different shades.