Robin Stoll: Postdoc day, Seminar 3: The stable cohomology of self-equivalences of connected sums of products of spheres

Abstract: I will explain an identification of the cohomology of the stable classifying space of homotopy automorphisms (relative to an embedded disk) of connected sums of \(S^k \times S^l\), where \(2 < k < l < 2k - 1\). The result is expressed in terms of Lie graph complex homology, the construction of which I will recall.