The geometry of the conjugacy problem

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• Martin Bridson (University of Oxford)
• Monday 01 September 2025, 10:15-11:15
• Seminar Room 1, Newton Institute.

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OGGW02 - Actions on graphs and metric spaces

There is a well understood relationship between the word problem for a finitely presented group G and the geometry of discs filling loops in any compact manifold with fundamental group G. This relationship was exploited in the 1990s and 2000s to develop a rather complete understanding of the Dehn Functions of finitely presented groups. The geometry of the conjugacy problem is less robust and less well understood. Following a very brief survey of what is known about this topi, I shall sketch some highlights from a series of recent (and future) papers concerning the nature of Conjugator Length Functions, which provide optimal bounds on the size of conjugating elements. This talk is based on on-going work with Tim Riley (Cornell). 

This talk is part of the Isaac Newton Institute Seminar Series series.

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