Homological stability of diffeomorphism groups using E_k-algebras

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• Ismael Sierra (Cambridge)
• Wednesday 08 March 2023, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Oscar Randal-Williams.

I will state some recent results about homological stability of diffeomorphism groups of manifolds and give an outline of their proof. In particular, I will talk about the connection to E_k-algebras, and about certain complexes, called “splitting complexes”, whose high-connectivities are essential to the proof. Finally I will sketch the proof of the high-connectivity of the splitting complexes, which is the most substantial part of the whole argument.

This talk is part of the Differential Geometry and Topology Seminar series.

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