Jordan property for diffeomorphism groups

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• Ignasi Mundet i Riera, Barcelona
• Wednesday 06 February 2019, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

A group G is Jordan if there exists a constant C such that any finite subgroup of G has an abelian subgroup of index at most C. For example, GL(n,R) is Jordan for every n. Some 30 years ago E. Ghys asked whether diffeomorphism groups of closed manifolds are Jordan. A number of papers have been written on this question in the past few years. It is known that there are lots of manifolds whose diffeomorphism group is Jordan, and also lots of manifolds for which it is not. However, Ghys’s question is far from being completely understood, and many basic and interesting problems related to it remain open.

In this talk I will survey the recent developments and some of the open questions about Jordan property for diffeomorphism groups.

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

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