2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures

Collection 2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures

Organizer(s) Cattaneo, Alberto ; Jotz, Madeleine ; Liao, Hsuan-Yi ; Schiavina, Michele ; Stiénon, Mathieu ; Xu, Ping

Date(s) 22/05/2023 - 26/05/2023

linked URL https://indico.math.cnrs.fr/event/7882/

14 16

Higher structures in automorphisms of manifolds

By Alexander Berglund

In previous work, Ib Madsen and I discovered some remarkable higher structure, governed by Kontsevich’s Lie graph complex, in the rational cohomology of automorphism groups of certain high dimensional manifolds, specifically the “generalized surfaces” #g(Sd × Sd) for d > 1. In this talk, I will report on some recent developments prompted by this discovery. In particular, I will present new structural results for spaces of self-homotopy equivalences of arbitrary simply connected Poincaré duality spaces that lead to a more conceptual explanation of this higher structure.

Information about the video

Date of publication 26/05/2023
Institution IHP
Language English
Format MP4

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