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SUMMARY:Braids\, knots and singular set of q-numbers
DTSTART:20260904T073000Z
DTEND:20260904T083000Z
DTSTAMP:20260910T060900Z
UID:indico-event-17085@indico.math.cnrs.fr
CONTACT:kellendonk@math.univ-lyon1.fr\;athomas@math.univ-lyon1.fr
DESCRIPTION:Speakers: Alexander Veselov (Loughborough)\n\nFew years ago\, 
 Sophie Morier-Genoud and Valentin Ovsienko introduced a remarkable quantiz
 ation of the rational numbers as certain rational functions of the deforma
 tion parameter q. It turned out that the corresponding singular set\, cons
 isting of poles of all such functions\, plays an important role in the the
 ory of the braid group B_3\, providing an answer to the faithfulness probl
 em for the corresponding specialised Burau representation.I will present t
 he latest results about the structure of this singular set\, including cla
 ssification of the quantum Kronecker fractions\, having all poles on the u
 nit circle\, and discuss the relation with the theory of braids and knots.
 The talk is based on joint works with S. Morier-Genoud\, V. Ovsienko\, S. 
 Evans and B. Winn.\n\nhttps://indico.math.cnrs.fr/event/17085/
LOCATION:Salle Fokko du Cloux (Bat. Braconnier)
URL:https://indico.math.cnrs.fr/event/17085/
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