BEGIN:VCALENDAR
PRODID:-//Columba Systems Ltd//NONSGML CPNG/SpringViewer/ICal Output/3.3-
 M3//EN
VERSION:2.0
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20261009T100433Z
DTSTART:20261012T140000Z
SUMMARY:The geometry of the cancellation metric on free groups 
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}fbi-mv0stmc
 h-h2bh8m
DESCRIPTION:Abstract:\n\n The cancellation length of a word is the smalle
 st number of letters to delete to obtain a word representing the trivial
  element. It well defines a norm on free groups and the associated metri
 c is called the cancellation metric. Equivalently\, it is the word metri
 c associated with the set consisting of all generators\, their inverses 
 and conjugates. The purpose of the talk is to introduce this metric\, pr
 esent some basic properties as well as some non-trivial and surprising o
 nes. Examples of results (let $m\,m ? 2$):\n\n    Algebraic rigidity: A 
 homomorphism $F_m ? F_n$ is a quasi-isometry if and only if it is an iso
 morphism.\n    Quasi-algebraic flexibility: There exists a quasi-homomor
 phism $F_m ? F_n$ which is a quasi-isometry.\n    Torsion in the cone: T
 here exist elements $g \\in F_2$ such that $\\|g^2\\|$ is much smaller t
 han $?g?$.\n\nJoint work with Assaf Libman\, Micha? Marcinkowski and Zip
 ei Nie. 
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams room 1\, Alan Turing Building\, Manchester
END:VEVENT
END:VCALENDAR