Matthias Grey: On Rational Homological Stability for Automorphisms of Manifolds
Time: Tue 2016-09-20 13.15 - 15.00
Location: Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University
Participating: Matthias Grey
ABSTRACT: In this talk we discuss rational homological stability results for the classifying spaces of the homotopy automorphisms and block diffeormorphisms of iterated connected sums of product of spheres.
The stability result for the homotopy automorphisms follows from the homological stability of its fundamental group with certain twisted coefficients. The stability for the block diffeomorphisms is concluded upon using surgery theory.