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SUMMARY:The oriented Thompson group\, oriented links\, and polynomial link
  invariants - Valeriano Aiello (Università degli Studi Roma Tre)
DTSTART:20170406T120000Z
DTEND:20170406T130000Z
UID:TALK71832@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Recently\, Vaughan Jones discovered an unexpected connection b
 etween the Thompson groups and knots.&nbsp\; Among other things\, he showe
 d that any oriented link can be obtained as the "closure" of elements of t
 he oriented Thompson group $\\vec{F}$. By using this procedure we show tha
 t certain specializations of some link invariants\, notably the Homfly pol
 ynomial\, are functions of positive type on $\\vec{F}$ (up to a renormaliz
 ation).&nbsp\; As for other specializations\, we also show that the corres
 ponding functions are not even bounded (in particular\, they are not of po
 sitive type). This talk is based on a joint work with Roberto Conti (Sapie
 nza Universit&agrave\; di Roma) and Vaughan Jones (Vanderbilt University).
 <br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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