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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)

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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.