Symmetries of manifolds, Oscar Randal-Williams | LMS

Abstract: Whenever one studies a mathematical object one ought also to study its symmetries. Manifolds---spaces which look locally like ordinary Euclidean space but which can be globally complicated---are the central objects of study in topology and geometry, and their groups of symmetries come in many flavours (isometries, diffeomorphisms, homeomorphisms, ...). I will discuss some classical results about rigid symmetries, and then some recent results about the spaces of all symmetries of certain manifolds.
Part of the LMS Annual General Meeting 2023, which took place on Friday 17 November 2023 at Mary Ward House, London and online via Zoom.
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