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SUMMARY:Jose Burillo (Barcelona)
DTSTART:20200820T100000Z
DTEND:20200820T110000Z
DTSTAMP:20260419T060146Z
UID:CRMDS/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CRMDS/14/">T
 he irrational-slope Thompson's groups</a>\nby Jose Burillo (Barcelona) as 
 part of Western Sydney University Abend Seminars\n\n\nAbstract\nJosé Buri
 llo (Universitat Politècnica de Catalunya)\n\nTitle: The irrational-slope
  Thompson's groups\n\nAbstract: Irrational-slope Thompson's groups were in
 troduced by Cleary in two papers in 1995 and 2000\, where he proved they a
 re FP_\\infty. These are groups of PL maps of [0\,1] whose breakpoints are
  in some irrational subring of R and the slopes are also irrational number
 s. Interest in these groups grew recently when it was asked whether they c
 an be obtained as subgroups of Thompson's group F. In this paper we will i
 ntroduce the golden ratio group F_\\tau\, describe how to work with it in 
 terms of binary trees and also algebraically. We will show a presentation 
 for F_\\tau and show that elements admit a unique normal form\, in similar
  fashion as F. We will study its metric properties and undistorted copies 
 of F inside\, and finally\, if time permits\, we will say a few words abou
 t the irrational versions of Thompson's groups T and V. This is joint work
  with Brita Nucinkis and Lawrence Reeves.\n
LOCATION:https://researchseminars.org/talk/CRMDS/14/
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