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SUMMARY:The geometry of the conjugacy problem - Martin Bridson (University
  of Oxford)
DTSTART:20250901T091500Z
DTEND:20250901T101500Z
UID:TALK233623@talks.cam.ac.uk
DESCRIPTION:There is a well understood relationship between the word probl
 em for a finitely presented group G and the geometry of discs filling loop
 s in any compact manifold with fundamental group G. This relationship was 
 exploited in the 1990s and 2000s to develop a rather complete understandin
 g of the Dehn Functions of finitely presented groups. The geometry of the 
 conjugacy problem is less robust and less well understood. Following a ver
 y brief survey of what is known about this topi\, I shall sketch some high
 lights from a series of recent (and future) papers concerning the nature o
 f Conjugator Length Functions\, which provide optimal bounds on the size o
 f conjugating elements. This talk is based on on-going work with Tim Riley
  (Cornell).&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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