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

Time: Fri 2022-04-01 15.45 - 16.15

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

Video link: Meeting ID: 921 756 1880

Participating: Robin Stoll (Stockholm University)

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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.